{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Cross Spectra\n", "\n", "This tutorial shows how to make and manipulate a cross spectrum of two light curves using Stingray." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from stingray import Lightcurve, Crossspectrum, AveragedCrossspectrum\n", "\n", "import matplotlib.pyplot as plt\n", "import matplotlib.font_manager as font_manager\n", "%matplotlib inline\n", "font_prop = font_manager.FontProperties(size=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Create two light curves\n", "There are two ways to make `Lightcurve` objects. We'll show one way here. Check out \"Lightcurve/Lightcurve\\ tutorial.ipynb\" for more examples.\n", "\n", "Generate an array of relative timestamps that's 8 seconds long, with dt = 0.03125 s, and make two signals in units of counts. The first is a sine wave with amplitude = 300 cts/s, frequency = 2 Hz, phase offset = 0 radians, and mean = 1000 cts/s. The second is a sine wave with amplitude = 200 cts/s, frequency = 2 Hz, phase offset = pi/4 radians, and mean = 900 cts/s. We then add Poisson noise to the light curves." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "dt = 0.03125 # seconds\n", "exposure = 8. # seconds\n", "times = np.arange(0, exposure, dt) # seconds\n", "\n", "signal_1 = 300 * np.sin(2.*np.pi*times/0.5) + 1000 # counts/s\n", "signal_2 = 200 * np.sin(2.*np.pi*times/0.5 + np.pi/4) + 900 # counts/s\n", "noisy_1 = np.random.poisson(signal_1*dt) # counts\n", "noisy_2 = np.random.poisson(signal_2*dt) # counts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's turn `noisy_1` and `noisy_2` into `Lightcurve` objects." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "lc1 = Lightcurve(times, noisy_1)\n", "lc2 = Lightcurve(times, noisy_2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we're plotting them to see what they look like." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1,figsize=(10,6))\n", "ax.plot(lc1.time, lc1.counts, lw=2, color='blue')\n", "ax.plot(lc1.time, lc2.counts, lw=2, color='red')\n", "ax.set_xlabel(\"Time (s)\", fontproperties=font_prop)\n", "ax.set_ylabel(\"Counts (cts)\", fontproperties=font_prop)\n", "ax.tick_params(axis='x', labelsize=16)\n", "ax.tick_params(axis='y', labelsize=16)\n", "ax.tick_params(which='major', width=1.5, length=7)\n", "ax.tick_params(which='minor', width=1.5, length=4)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Pass both of the light curves to the `Crossspectrum` class to create a `Crossspectrum` object.\n", "The first `Lightcurve` passed is the channel of interest or interest band, and the second `Lightcurve` passed is the reference band.\n", "You can also specify the optional attribute `norm` if you wish to normalize the real part of the cross spectrum to squared fractional rms, Leahy, or squared absolute normalization. The default normalization is 'frac'." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "cs = Crossspectrum.from_lightcurve(lc1, lc2)\n", "print(cs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that, in principle, the `Crossspectrum` object could have been initialized directly as\n", "\n", "```\n", "ps = Crossspectrum(lc1, lc2, norm=\"leahy\")\n", "```\n", "However, we recommend using the specific method for input light curve objects used above, for clarity. Equivalently, one can initialize a `Crossspectrum` object:\n", "\n", "1. from `EventList` objects as\n", "\n", " ```\n", " bin_time = 0.1\n", " ps = Crossspectrum.from_events(events1, events2, dt=bin_time, norm=\"leahy\")\n", " ```\n", " where the light curves, uniformly binned at 0.1 s, are created internally.\n", "\n", "2. from `numpy` arrays of times, as\n", " ```\n", " bin_time = 0.1\n", " ps = Crossspectrum.from_events(times1, times2, dt=bin_time, gti=[[t0, t1], [t2, t3], ...], norm=\"leahy\")\n", " ```\n", " where the light curves, uniformly binned at 0.1 s in this case, are created internally, and the good time intervals (time interval where the instrument was collecting data nominally) are passed by hand. Note that the frequencies of the cross spectrum will be expressed in inverse units as the input time arrays. If the times are expressed in seconds, frequencies will be in Hz; with times in days, frequencies will be in 1/d, and so on. We do not support units (e.g. `astropy` units) yet, so the user should pay attention to these details.\n", "\n", "3. from an iterable of light curves\n", " ```\n", " ps = Crossspectrum.from_lc_iter(lc_iterable1, lc_iterable2, dt=bin_time, norm=\"leahy\")\n", " ```\n", " where `lc_iterableX` is any iterable of `Lightcurve` objects (list, tuple, generator, etc.) and `dt` is the sampling time of the light curves. Note that this `dt` is needed because the iterables might be generators, in which case the light curves are lazy-loaded after a bunch of operations using dt have been done.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can print the first five values in the arrays of the positive Fourier frequencies and the cross power. The cross power has a real and an imaginary component." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.125 0.25 0.375 0.5 0.625]\n", "[-3264.54599394-1077.46450232j 1066.6390401 -2783.16358879j\n", " 3275.00416926 +196.64355198j -8345.12445869-6661.52326503j\n", " 5916.3705245 +3602.05210672j]\n" ] } ], "source": [ "print(cs.freq[0:5])\n", "print(cs.power[0:5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the negative Fourier frequencies (and their associated cross powers) are discarded, the number of time bins per segment `n` is twice the length of `freq` and `power`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Size of positive Fourier frequencies: 127\n", "Number of data points per segment: 256\n" ] } ], "source": [ "print(\"Size of positive Fourier frequencies: %d\" % len(cs.freq))\n", "print(\"Number of data points per segment: %d\" % cs.n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Properties\n", "A `Crossspectrum` object has the following properties :\n", "\n", "1. `freq` : Numpy array of mid-bin frequencies that the Fourier transform samples.\n", "2. `power` : Numpy array of the cross spectrum (complex numbers).\n", "3. `df` : The frequency resolution.\n", "4. `m` : The number of cross spectra averaged together. For a `Crossspectrum` of a single segment, `m=1`.\n", "5. `n` : The number of data points (time bins) in one segment of the light curves.\n", "6. `nphots1` : The total number of photons in the first (interest) light curve.\n", "7. `nphots2` : The total number of photons in the second (reference) light curve." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can compute the amplitude of the cross spectrum, and plot it as a function of Fourier frequency. Notice how there's a spike at our signal frequency of 2 Hz!" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cs_amplitude = np.abs(cs.power) # The mod square of the real and imaginary components\n", "\n", "fig, ax1 = plt.subplots(1,1,figsize=(9,6), sharex=True)\n", "ax1.plot(cs.freq, cs_amplitude, lw=2, color='blue')\n", "ax1.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax1.set_ylabel(\"Cross spectral amplitude\", fontproperties=font_prop)\n", "ax1.set_yscale('log')\n", "ax1.tick_params(axis='x', labelsize=16)\n", "ax1.tick_params(axis='y', labelsize=16)\n", "ax1.tick_params(which='major', width=1.5, length=7)\n", "ax1.tick_params(which='minor', width=1.5, length=4)\n", "for axis in ['top', 'bottom', 'left', 'right']:\n", " ax1.spines[axis].set_linewidth(1.5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You'll notice that the cross spectrum is a bit noisy. This is because we're only using one segment of data. Let's try averaging together multiple segments of data.\n", "# Averaged cross spectrum example\n", "You could use two long `Lightcurve`s and have `AveragedCrossspectrum` chop them into specified segments, or give two lists of `Lightcurve`s where each segment of `Lightcurve` is the same length. We'll show the first way here. Remember to check the Lightcurve tutorial notebook for fancier ways of making light curves.\n", "## 1. Create two long light curves.\n", "Generate an array of relative timestamps that's 1600 seconds long, and two signals in count rate units, with the same properties as the previous example. We then add Poisson noise and turn them into `Lightcurve` objects." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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T7qmRippTAFc/OAVQhhgUkeY6bW3pr8XVv3XXBQoFdu0aFmuoC81WALswwLJd1+hfsDqYgFtJAOfPT15VQ0KxGH6uoXAd8+dhWzC/m1ZEAa8u+M9/WFBaWlQqLCn2WIr4HxcEcHgY2HVXYL31ajt+dfABPOoolkn9tNPsj2mkApi6jpwCOOqoVQEcTYxFBbAWAsh9ZqdOBbq72edW+wE2mwBehcPYmm6nnlrTeVYHAvjyy+HnZitfG27Igu1eecXyAPGNoobCfeTrW+IJbI92DDsF0MfDDwN77AHMmZP+2PPPZ0vj7bVX48tVK8YNAVxdIJKyNBzpb39j/6+6yv6YUVUA1/TXxNUAIuFZXfIAjkUCWIsJmKuNbW3ApEnsc6uVgWYRLN4+PoZ/sQ9XX13TeVYHArhqVfi5VSZgHhCViDoJIMdErGqJArg6aAJPPln7sXxt7EceaUxZGoFxQQDr7eytVADFzlOLKjN3rv2+o+oDWMMo4UzAjcXquBTcWCSAogJoWzf8/NnsmqsA1otWBYHUU946rax1XzMWDSKAWVSdAuijnjmzUGhcORqFcUEAVyfUosqI+62zjv216iWAdYl4zgdw1NFKH8BGkYJmkk/RB7DWydy2z44rAlhjx20mARTLWI9iJVqXxjQBrKNwGXhNiwKuNdXMaKGewKRm9bd6MC4I4OqkAIr91Lajv/RS+DlN56uXAIplTT2Itqi3VypyvrVa0NvbvFUTRhNjPgikvx8YHATQmj6oKoDlsl3bERUPv7iJ4P0lkwkJYKtNwGORAIp12cxnXmuEq4hKRT62VQTQ2l1DowAuWpReocui2rQ8gGKd1VN/S5a0pv7raZNOARwlrE7KUS0KoJiM1HYCAuqvl9WBAO65J7DWWnIdpcH8+cCMGcDOOze2XGMBYzoNTKXCnOMmTADQmvRIKgHceWfWdt58M/44sR6HhuyuNVoKoPgcWpYGJsVA0yCrZSLEeqj1Oqpv+ZhWAKtVPPIIMGsWcOCB6a6X1gScZt9GEMDnn2f9dLfdajs+DcSmnHZMqyVYrNkYFwRwdYI4GNkSQHHiSEMAG6kAph5EW+QDePfd7P9116U/FgCuv579b+YKFKOFVq4Ekhqidz1aQwDVNDD8mT/wQPxxYj3a9j+RAPKJoRXPQLxGs97BVgefukYogGOeACqVyZfRTLuUYr0+gHF9txEE8IYb2P9UKXJqhNh/0gaXOhPwKGFNVwDFztlKAihOmGNVAeSodZBftqyx5RhLGNMKoNJpW60Aiqbf2bPjj6vHBJzNhvfWCud5kRM063r1mIBbpQCK40Gt11GJ2JgjgEplplJ8hYdYrwk47rqNMgG3CmLd26r9HM4EPAYw1iOUaiGAtZiggFFWAB0BHHWMeR9A4YKNjFg3QayPZ5+VLh+LWgggPyaTCfthKzIjiWNKs663upmA11gFUKnMVAqUUEF5lOsyAa9JBFB85mnEFmBsEsBUXiCEkAKAbQGsDaADwFIAL1FK32h80ZqDcjm9mjBaQSBjXQFsNQGs5znUOsjzhL1rIsZ0GhhFoslmm58TRGzPzzwjXT4W9foAtlIBbAUBbJQC2CoT8LhQACuVdAqgUEE5VOoyATsCyDAWCWAiBSCEZAkhhxBCbgXQB+BBANcCuAzAvwG8Rgh5ixByDiFko+YWtzaIA1IrfZ1uuQVYe23gwQftj6klCrgWBQIY5SjgFucBPOMMYIcdWJ7En//c/rjVQQFcuRLYeOOEVWDuuovZMv/zn2BT4svGk0+yYxQHytEhgPaH9vWx+vjhD9NdUnRpSEMAa/EBFE3AH3z5UizEbPz+G89im22aO0a1QmFT28f815MDaTjE8l1xBfDe98aPg4sWpe/TahnPP5+tEvX22+nOoSqArbIutdoEnEOlrkTQzfYBbCXGlQmYEHIIgBcBXA6gBOBUAB8F8F4AmwD4IIBPgxHCAwG8QAj5IyFkrWYWuh7UMrjWSjw+/nHg3XeBgw6yP6aVCmC9ymata6cCGJWkT489xiaiE06wP2Z1IIB/+hPw6qvAj38cs9MeewDvvMP++0g0AR9xBDvmkEOkzeKja9pjVPJrpCGAl17K6uOMM9Jd0mQCTnpXqdcEfMSdn8dsvIPv4Ww8/XRy0Ek9GA0TcLlC8NOf2h2rjnnPPAPccYd5//POS9+n1TKeeSZbJ/6ss9KdY7QUwFrTwKQyAQsVlNYE3OogkFZOJWuaApj0TvArAD8DcAmldKVhn0cBXAXgeELIBwB8F8BXAKQcfpsHsYG0esF19fpJaIQPIKV25G5NTwPTiEusDiZgq2g0TWWI7SZNnkM1eatNO0r9LMTCVaup1OpaczaK7Vkk/s02AXO8g7UBNNflpBUEUAUFsSbwOnVrxQrz/rXWle7e077Erm4+gLk0BERRAMdyGphWoh4CKPaBSqV1K93EIakIG1BKbZsbKKWPADiIEFLD6pitwZhLd6GgXgXQ89hxNuuTruk+gI0YUFYHBdCKABISqXOxfrSkyVDhtWTvrytNUEoTcK3P3UQcm2EC5ufsqoY5nF7H+gBaRwBbFgUM+/WSdWPeypXm/WutK10ZxzIBFLuDtelRSQOT66ztgmlNwGo9xtWL8p435iFWaVoCKD7DYjFIcTqqiKUAachfI45rFkbLB7AW1KsAAvYNc3VLA5N2sE+bp0kH/jy6uuo/V7NQ630mKoCGBiIeZ/vcU0+OdZiAa52ITcc1wwTMz7nuqueDbRSsgTeTAIoTWKuCQDxkrJPg6sa8VimAaeujlSbgmjI9xPgAJg6/DVQA4+qlEQpgK4M0xbE2rQ+g+AytVdwmw5oCEEI2IYTsIHzvIIScRQi5mRBybHOK13iMjAD/+hfzy4tbeolS4GtfA375y9YuJVevAgjURgAvuQT47GfTdcJWJ4JOi3o7mUiKJk+u71w2OPFE4Cc/SX+ctQKooBEKYNMIoCINjCYBbKYJeJ3+ecG2DFhlNmtCe+UVYK+9omXQglLgqKOAiy5KfR21TVAQtLUB3/wmcO658ceOJgEcywqgWLbbb2fzUiKEyrzztmq6RQYa6AMYV6+N9gFstmdRLQrgKacAp54q10MjxIlGII0V+tcA/gfm8wcAZwI4FsCzAH5BCKGU0vSjRQugKoAf+xj7vPHGwDnn6I+ZNw/4/e/ZZ75UU61IM0iJjURZDMHqGMB+EhIJ4JFHsv+HHAIccIDd8a32AWy1Aiianpr9lrlyJXNoB9hgkQa1EsBEBdBw0+Jxto+xLgVwNSKAixbZXSsggCtbRwA///kUqv2jj7LoIgA45phU11HbBAXBwoXAn//Mvp94ovnYtASwVitGI0zArVQA1Wd13HHAt76VcJBQmc/+r4J5W4c/DQ8nmOUbGAXcbAVQNSM307curQ9gpYIgAOpYQSZb7RRAsMjfBwGAEJIB8DkA36WUbgfgJ2CBH2Meogk4zr9LHIhGSwHs7bU7phEKIEca0tSKKOBGLStVC0Qi3Wz/lHrOXyvRXZ0UwDQTfa11afIBTLpH8d7mzTPvpzvn2itDE3AWzW1k776rL4MWdUTL6fqsrS9tq3wAV2cF0BpCZWZRlcazxLGxgXkAm60AinN6s1280pqAxfYstuOxogCmIYCTAPBu/D4APWDpXwDgHgAbNK5YjYXJBzCuUY/W8nG1EMBafQB191ir0tKsPID1OAnX28nEemy2xbqeRcabRgDHkQ8gpY1RAJ9/3q5O+DFrr4gqgM1CpxIEEHtfday9pzMBx6l4InQEMI48jkcfQGsoBFDs44ljRgNXAqlWzWPa6kYA05qAxf3FPrA6EsDFAHii5z0BvEYpXeB/nwBgzAZx1xIEIg4so7USiLgeaRxqVQB1nTqNfN6KKGBx0Eo7QKxOBFCsjnpNUVo00ATcEgVQMQHX2i5ruZyKtD6ANkmPq1WgG33oGVwYbGu2CVgNZIp9dnVEiOkIYJyKJ0LXluNehBtpAk7bx1cnBTCHilS+xLGxgVHAyukkNIIAii8NzU7zltYELJZHJICrown4HwDOIoScB+A7AK4RftsKwPxGFqxZEB9IXKNu5NqjhLBVQf7yl/j9PE/uKL29bBGGK66IP65WBVDXKdPcdysUwHoIYL2dLDUBfPJJ4OyzgwcyOAj86EfAyy8nH6oIXqkgDko//jHL3RyBwir+/nd5vyQCeOaZYd+x9gF86imWXbdSST+BtTgIRHf//JppTMCAnRnY84DN8by0zZYA9vcDp58OzE8ace+/H7jgguAhqQpg7H2JFU4pXn6ZJda2GVvUZ52GAOom8LgX4bFkAm6mm0gaUhVAGABVBTBxbEwRBbx4MRt3uP+rbl9Tn1ydFcDf/CZ59RgTARwrCmAad8nvAWgHsBcYGTxT+G1/ADH52kcXJgWwlQTw4x9nn/femy0Pp4PayZcsCRdhOPhgs9Ou2uFsg0B0HTVNEt1W+ACK10ib4LfeTibWoxUB3G479n/aNODLX8YJJwC/+x3w178mT9bi+ctl+7xpajlPOw248UbGRU2oVoHDD5e3JZmATz2VPbJTT02hAG67Lfu/1lqoVL4Ys6MGCiOu9cWknmM6O1kglq0COGkSyyyQSMz8YzZQ3pltCeCxxwKXXQbccAPw9NMxO+60E/v/3vcCu+6azgQs9s9yGVtvXUCpxOrjZz+LL5+uLushgCtXsrLqXgJqHafXBBPwyEjCOCFMdllUpfGwkQrgkUcC//43y67x8MP6slYq0KYCWt0IoFpvv/1tfOaGNUYBpJQOUkqPopRuRSn9IqV0SPjt/yil32tOERsLWwLYLDNMXGSv2gHEtwvbZJpA7elj0hyrlqlZUcD1DBAtVwA5XnsNAHD99ezr668nHyI+w3pN3U89pdlJaNC689uYgPnyaKl9AN98s6VRwOK91BOlzAmTLQHkiV1tXlSqVeZbJcLWB/Ba3/NaXK84FguYp456j7HPTryJUikYF7RtS4FOAYxLuSXC1GdNL7VjIRE0b5utJoCJY7VwUOogkBQ+gI/6eUEeeYT95/vuuKO2KBJWVwLI3/WTfFvHugKYJg/gfELIew2/bUkIGbMm4FoUQNPxtcB2kOIdoLOT+eKJnTRucFI752gQQOcDKMCfEbjpykalqMcEnNYHsFYCyJ9x6pVAurpamgdQrA9b1VhXvo6OaFHijuVqjM01PS8a9csJYFKd8nbNy2d1MUTNt7H3ZUhIatMP1LrkCa5tYOqzJtPzaJqAeTvjxL8VaWDWWYcZGIB0BDCHSl0KYNxznzpVf9l99w3zp9oEWNVqQh8NE/BRR7H/SS4RJv/E1U4BBDAXgCmfezuA9eouTQtgSwDrUWRqBb9OPg9Mn67/TQd1XdFWEcC6TMBrog8gh8L4NrCIj2+UD6ANaiWA/LjUCmAtBDDGBJxEkGohgLr9uAJouxIIN3HZ3Gu1yiZWEZwQxvUl8d7XXTf5OgCMBDD2vhwBTAQv68SJ7H8rFMBsNmxnieObUKB6FMAkE/CUKfJ3XrfZbBhUuCYogJUK+8tkQmKb5G5lmk9XOwXQh6kZbA9gZX1FaR7ExnvDDfrtKhQLVF2wHaT4dXK5dASQl5UrArUuIQcADzwAvPSS3fGtMAGPlg/gggXMr4UjrQK4dGn4VX2WOiRG5Kro7QVuuw0vv0SxeHGKsiEFAVSI7Ky+F/HCZY9LUZlNI4Ax0kBSfxSfu+11dfvxqFlbEzBXAG0JoEkBjKtT0S3Ednk1XkB1srI2AQtsoRYCmAYmYmJFAJcvB2691aqQcVHAd91lCKRSwMuahgAuWwbcc/lC0HvuTd5ZgEgAeTu78cYE38oYE7BpbBwYYL585VJYh0kmYK4AroVFwH/+E1w2k0k2j69OBJA/7/b2cGxIUgBN7Xm1IICEkG8TQt4ihLwFRv5u5t+Fv14AFwG4tZYCEEJuJYRQQshPlO09hJA/EUKWEkIGCSF3EkK2quUaIv71r/CzLQGs980urQlYRwDjJiH+G1csbJUvXae+8kpg003tjm+FCbieAaKeTjZnDovc5kirAIqRvzaEPHV722EHYO+9ceqm1yTvC0iNUPesbBTA396zGTb73PvRg+XBNmO9iDfR1qa9p9gmoLyBqUEycRCfeyMUwLQEsF4TcFxbE1/O+vuTryOecHU2AZuUFukd5UMfAvbZJzndAsxBIPfeC+y+O/Ce9ySXlY+znAzY9NsddwR2OWJdkF13sXOo9KFTAL/1LXa7iQfB3gR86KFspaxfXmAfBcwVwNewIbDHHtjg9f8EZV2TFECRAPKxIY0JWMRqQQDBUrv8x/8jAB4XvvO/6wB8G8BRaS9OCDkcbIURdTsBcDOAvQF8A8DBAPIA7iaErJP2OqaJplUmYNu1CkUCqK49a2MCTqsA1pvbrtUKYK0m4O22Y74z9SCtAig6vdsQ8tTt7Y03AAD74N/x+2lQqwLIIUavGh+jyE6qVe01YwlIHQSwFhOwLjiL9yfbNDBpTcC1EECxWm0DK1QCyB/raJmA47p+XQrgiy+y/7cmaxGmIJDbb2efBwYSTxG0Ld5ObJ77K68IX2JDuKNlA2QCCLCo28SDYG8C5lV38032UcCTJrH/XWAXmLvwAQCtUwBblQeQP+983l4BNJXHNlNHsxGbBoZSehOAmwCAcTL8mFJqEdOYDEJID4BfgJHHvyk/7w/gQwB2o5Te7e//EIDXAZwE4JtprlVLEEcjE//aOrqKBFBdf9jGBMzfSlpFAFP7AIoPogYfwFpNwAcdxDrsccelO15EWgIoDgw2b3tpCI6IdljKvQlBINo3ZwMBnBosCBRTL5YE0JjgWWHEzVYAdWparQpgMwmgOHH397MulWhhUAjg+eezvlCLAmgzliYRQM8zLzSS1gdQ20QtIoZMCqDtknVAbcRfQoocNiYCaHUQWFsTn3ealUCSFMBIm/B3FhXANcEEzOsgkwkJYK0+gLa5epuNND6AXwWgTclJCOkihORTXvscAM9RSq/U/LY/gHc4+QMASmkfmCr4iZTXMcJWARRRC2myNe+JBJC/Vdkcp5qAG0EA0w70VvVSw3IXjVAA29tTREwakNYEnMrhGvZtREUHLG0JDYgC5phiYwIWGVWl0lAFMKl+xPq2rUudmtZMAlirCVicuD3PUkmosiTAlYrsQ5YmDYx4zSQk3X/TFEAOC2JlCgJZvjy63YRanruEFKHt9RJANeCokWlgIml/PHZsJrNmmYDFZ1CvCXisKIBpCOAf/T8dfu//WYEQ8mEAnwNwjGGXLQA8p9k+D8AcQsgE22sB5gEnrlGbfqslIMQ2oGQ0FMAZWAxdbE+ScrJ4cdQHcOlS+0ndq8g7Ll6sf04qyUxDxMR0GWkSK+tAaQoluQYFsFaXA2sFUEAtBHC68O4nEkCe/T8CkVFVq9p2EdtWFNk8VgGkFGIkTKMUwFpNwInXHBxEbnhVQAC9DCMCwXfD9VatihIUKz9AzwvaY1eX5QonDTQBe8o0Y0twRaSaMC0IYNiXadC2+/sDzworqM897dwwNEywbJn9CwPAbq1WBVBEIxNBmwhgNlu7Cdg0H+hQLwG0vZZIAOs1Aa+OCuCu8M3BGvwDwO42JyGEFMDI4nmUUlO86RQAuhSLfPjr0Zz3HtOfTblUNJIANtsEXKsP4J6LLsVizMRPcGrkt7iO9OtfAzNnslXPOJ55hgWu7LlnzAWFSh0eqOLVV9nnSy9l5zv55Ogh6mSapv75INcIBRBIQQAzmdXKBEwIu7dI3QrHLMFawWeRAH7wg2xViggaqQAmmYBPOYU1IL8go2UCtjYFdnfjzAu7g0TQXpYZT7gCaCLL3d3AiSfK2638ABUCyPnRaJqATUhrAtYihQJ4Dr6LJVgLh+NveOYZ4LHH7C9TrwL4xaMymDYN+MAH7K8lKrjWByE9AeQkDkg2AavtaOVytnOtCuBf/8q682mnxZeRox4CeOWV7FqnnJK8r44AjicT8AwYTMAAegFhhojHSQA6IC8l11TUGwRisz0OtRDANCbgWhXAoxayHnYKfhr5La4jfetb7L+oRlx9Nft/110xFxRGkSyquMYPYOUdXSSUHOoEnoYc8c7Z2Sm/NTcyd1gAsTEpBLBUSp44a1UAOzCM92rTs5uhnj/vO29E6tYwkU7DUun7D36g2amJJuBIOc86i/3/0Y8A1BYE0jITMKXBvU0AizSgOZkApsnPmVYB7Oy0VADrSAMTUYRSEMC0JmDtuVIQwJNwLgDglBqmo3p9ALkyGrdsI0cjfABFJBEXQu3TwKjPe8liewVQN+7x+eCMM+LLyFEPAfzhD9l/PoTEQWcCHhqqrT2PFRNwmrWAlwDYCsDdmt+2AgTPcAMIIXMAnALgywDaCCFiU24jhEwGsApM/YuofGDKIKBRBymlu5iuO2vW9trp1zYNjAhbAijuJzZKGx/AbLY+BdA2DUyGmm8mriPVHDyiEEBOIOPOp07gaQZZ3sn42xpHrSu7WE+Ynhfp4MVivApZqw9gO4q44gpgyy3tj9ERwJERzRrEBqY8Q3kP1JITxQSsu6fY+0xjAlYwWiZgqzQwQufk/puqApimf1kRwGpV6gutjgJWEdf/0iqA2vE4lQm4dqjPvVYCaING+wAmEpAUiaDVZzA8HBLANAog36dQSCibgnoIYJp0LOIzyGTYcy8W2TnUOYZjTVIA/wngB4SQrcWNfm6+U8ACNJKwAdiqIZeDkTj+BwAn+J+3AvP120Jz/OYA3qKUWgTph6hFATQNdLaDs9gQbZd0a7UPIIlZe7QpzrSSY3ElWBsxrk7qIYCi2UtFvcE8ESgsX+3gSaS8VhNwG0rBc49FjAnYqAAaCOB09Erfte2tiSbguDZAqVyeeoJAuHrRUBOw0BA6/bQZNgqgqQytNgE3Ig1MIxUT3bkoqS0IRIRNfEa9JuA0+REbrQAmERBRAUwyAau/8XZcaxoY6/vzUQ8BTLNalPgMADs/wDWJAP4QbLWPJwgh/yWEXE0IeRDAkwD6AI0jWRT/A/MlVP8ARgp3BfAqmE/hbELIzvxAQkg3gP383xqCZpqATQvS2yR0blUUcK0KYM1QRooVy5IVD/W+05Aj0eylcpl6g3kiECusWo108KQ3zXqCQJpGAA1KSmoC2Ko8gJRGBvS0CqCo0jaFAAoNoQuskVALBdDU9sZaEAilrfUB1J1rqFQ/AVTXt9WhUSZgG7SaAIo+gGlNwLwd15oGJq0CWE8ewDQEUAzEAez8ANcYAkgpXQrg/QDOAksKvY3//0wA7/d/TzrHSkrpPeqf//Ob/vcBMJL3EIDLCSGfIoTs5W8jAH5mf3v8uum2A+HD3gQv4U3MwedxCQBg/fUhLYVlgolA2aaBURXAuElo9sp5eBNzsOMbLJ2iNQFstQKojCL/uLGKQw9NZwLebLNkMvX882wlD+7QrVMAkyb1s8jJmIfNMQFhhmBTOe+/H9h2S6HCvvc9HPfvvSBGV6dRAI1t5M03gblzgd/9LtjUgWE7AihAvfe0CqBqAtbemyhNff/7+MPCfaBGm6+/PqQl84yFtCWA8+cjv+2W6EQ4uu6yC5uI5syJiVhGSKTEtpJIlDwP2GknnPvWYQAslSChsjgB9BIUwDPPBDbaSN7Gn/lxx7GVe2KJ4KmnYtOzPh8cZ6UAGtLAJJlOtYqcZSJoSlP4AFIK7L03jvzj/+E1bIBv4/zgpxUr6zcB25CQ2hTA8MK1EkA1CGTOHOCFF2IOQnoTsKoAphFLCOpLA9NKE7DY3k49lfUlXVJ4oH4FcAs8hzcxB4fjb2PGBzDVWsA+gfshpXRHSukmlNL/o5Se7ufoaxgopR6AjwO4A8BvANwAoApgV0rpgsZdx/wbf9gfwf2YgwXY21/pbtUq4KKLks9tmqSaYQL+ytPHYA4W4PCbPwNg9VEAs6ji2mvTmYBXrADuuSf+Mscfz9by5ejqYss7bbZZuC2JAH6PnoXN8QJOnnNF4pqw++0HLH1XrrD3Lr4d62Bh8D2JtFoRwFNPZSTw618PNrWjGBC4WBgUwK99LT0B7IbMNrQESbnhXYZvjeQsrFaBP/zBUN5aFEAAuRfn4ZO4OnKqBQviV97ifFUk04lEacUK4P77sc+qq9GFATsfQKFeAhNwns14pjQwp54aJcpr+SF3/f1sebjrrou5JoA591wKgCmczVQAw8PCwZUoxN90jnI5miSa12lkwhweBm67DesufAgb4HWcj++EPzVAAbSxENSiAIpKnFovNuXRpYFZsAA44YSYg5BeAUyTCJpdJtxfVACbbQKmVO5vaectsV7PPDO+L6kE0CYXoDgXn4cTMAcL8Dd8ZvVTAJsJSimhlJ6qbFtOKf0ipXQKpbSTUro7pdR+7RzpXOx/bIoSBbzBTwKbGcTJy8aBuJUEUC1OIwhgU5bUUSqOD0px19LVo1o3KlT/nc5ONpHMm2e3cLv4jL731RUBQTINgpQCBURHns3xfPA5jQnYSCA0hW5HMXVUMz/N7rsDv/1tegLYBovGoSmrbsIz+usrNvE0QTJimhrTKVVwBU0kgIkmYOGHzfF8ahOwyQfQhnxwAshhmxqkrS19EAgtpieAcUTHdA5eNeIz4H1dqwAaULWY1kxl2Gkn/xwWzyBt+p9KBUHqHyBKyuLAy2syAWt9FhvoA5gkloj3xcfCViiA6phVq3Ah9h/TC7VJAbQ1ARcRXmRwsDGBSPUitqcQQv5BCHmf7ckIIe2EkOMJIV+rv2iNh9qwbEzAXO0Q863ZrOBTrwmYExWb46pKMPfqYgLmg5JJcgf0952keKkmUd5RCbHz6xKvSfr7EifMbFZPirbAvOB6DTEBaxpsG0aQqaZbI4+fn9djWh/AHKrIJE1emptQzVDitSNQFEDx1pP8+iZjpXZ7wwmgUJAtMC+1CThNEIgKlQBG3AAMg1t7e3oTsDcUljlpXNARQHWcMd2fuHIPx4QJ7H+EsMQUvkrTm4A5SZ0yJfH0AdIqgKWS3AfSEMAkH0DtC0CMCTiNAmjjAygSQD4WtkIBVNtjrfOW6PtrIqC1mIDFcX8lJkvnSru0aTOQ1FPeAPAwIeQRQsg3CSHbEkIktkEIWZsQcgAh5M8A3gXwJbDAkDED3pbVB2vj2MoJoKgA2igu9SqA6twbSxzlR9L0NDA1w0AA46Crx6SOo6ZbSTWpQ6nrvmQCmMvpFcAtMC9wJm9WEAgAZAYsIgE0JmD+dp5WAQQsVEDNQxInCQ7j236NJmAA6NHmkI9/5joTcKKpVCjI5ni+dhNwAwhgJMWQ4SRtbelNwN5w+KyTxhYdAVT7uenFW1y5h6MWAuhZEEDTvff0JJ4+gJoGJumYYtGsANoGGtVKANPmAVRXAkmaK8Xxj48NrVAAG0UAxfozEdB6TcAiAUw6rlWI7SmU0m+CpV55FMDpAB4DUCSELCeEvEsIGQawAMD1YGlbjgOwNaX00WYWOi34gJPmzSLOBGyjANZLAE2/ac/ZbAXwT38CjjwSqFbrMw03iAAmESRxAunokJ8X77z77w+8/LJ83JtvAgceCPz3v8LG3/0O3xhmcUdxCqDJBDxtGvucRgF87TXggAOAR9VeZJg5M8d+XbtdQqsJYD0K4FVXAZ/9rHSuNARwBpbgMnwWh+Nv0va0CmCiUibc4xaYV7MJGA0ggBFoT0IlE7BtGhiRACb1//YfnIjv4uyGK4ARwhJTyVVkcdJJMcl9KxWc9uoR+AwuDzbxQBV+vbi6ef55Nk7wMtkGgZRKZgKYRFxE8qEjSNq5rWJWGxNNkCnyAHqePP5xa1mtUcCpFMASxW/wdRyDX7PvNRLA3ap34Bocgh4sT60A2pqA+xCm9iDwcNZZwDHH6J9DaUVrokQSE0FTSl8D8A1CyHcA7AjgAwDWBsvntwzAiwDuo5S+2cyCNgJpTMCqAtgoE7BNwANvYBtuyMgAkEQAZQeQhgeBHHUU+3/ggejfcX+7k+tQAwFctiy6LYkAiJO4ahrjdfvww8DBBwPPPhv+9tWvArfdBtx4o+xX+cPB7+I0nJRaAdwcz2PqFAqApAoC+fGP2f+bb7ZTIsg116ATgxiCIRspUBsBjGnoTSWAn/qU/F1RAJPa9yfBlpj5LK7Alfg0OjoY7zLVZbnMzpnJyOVJYwJeBwvxZso8gEEamHx6Ajhjhvw9ck1NobOooq0tl9oH0CtaEsDFi9H12/NwNoDfIfQCast5EB99kg+g+ALH+2+k/8R0jMEhgnPZAh/4/vc1O9xwA/Zdfjn2FQggB5/U4+pmr72AhWF8VyoTsEgARWI8MhKfKF4kH7qypVUAq1V2TRPZUlcCGapRAaxlJRBRAPG8+PnWe/J/+DpYVoSLcGwqgUIc7y5dxAIEFmIdABfor6WkgeHPK25sN5WnBytw7rnMPHT00cAWStbjob7W2IfTpIEZoZTeSyn9GaX0OErp1yilp1BKLxvr5I8TPXWySeMD2CgTcNwgwUkX75TPPQd89KPJx1Va5QO4YIFd3jETlApfd1Yyu5k3L7otjQnYRAAB4O235d+S0vukVQAnoR+bdLKZIkkB1M1nkesp9deLacHnDts1gdEYBTBxDWJLE7AVFAKYNoUCDyQwcQb+bDo65H3SmICzqNopQToFMCEKWAdVAYxcU3OSPMr2JmDh3qitAjgQ5ucXCcdGG3p45x1g9mz/fIZxV6cA8rYZeXZxPoAVL363mAaUFPEPyOQPaIwPYBoFUFe2tD6AQEI/ShkFbPIBTGMC5qskivsmrrW7TF4TIg0B1Pme92BFIlnl/cemH4nlEecIMZWW7npD/Sn9gGrEmIgCbhUaFQRig1pMwHwQ4OVsbwfWXpt9TqMAVip2k0hqArhsmd3KAyYohVp/TnMIoPhcVQ4jEkD1tzAHnL5hpCWAALAFYTeQRgE0QmmwqzARywozAQCdGbl9RtrZGFUArRyhFRNwWt8ZHlBl6nv82bS3y8VONJUaCKDtUnAFf9LkaWDqMQHbKIA5VGoyAYtRwLFji3Bvkg8grWLWrOToY50CaCQQcSbgUriztq3ERJHZrv/MQUg4XrfKBKwrm1Y9NCiANsELaaOAa1UA1e3Vqrwtqa8XB+XKSJPYWTeXlZG3JoA2/UgkgOKzF5Pp6yK4HQFsIOoJAtH5ANr4GdRiAlYJIJDsQwHICiB/G7V5E8rWQADrUgCVCp80IX6UHR5mJnC1gyQNtOIErO4rnkvlN3xgNJmmayGA6w82jwCOoIBKlj3wjoz8wONISDN8ACPlbyQBbKECKJYn0QQs3GMGXmofwACKCbiWNDBpCGDaIBCqDCbGsUX4QUoD45OJeghg5Jg4BXAkgQDGRBnYKIAicjm7MRqIJ4BJ47VoftRdR2vKNRBAvspULLlKqQDqCGBaBZB/T0MAS0PyidMogLq5LA0BtAkoNBFAUQHU+fyrxLZZGBcEcEJpOT6OmyMvfnEPLk4BTGpk5TJwxhnA2ngbp+AnmILQkS2NCRhI7kAAa7Qc/NiLL44vo4gqMpG0M9p7rJMALn5XHkW62uMb+YsvApPpcpzX8xOsjbfxEdyHo3ERZt/2F1z3lduiQRI+ymVgBhbjFPwEOw/+CzjvvOCBigRQIpblMj694BxsiWeNZM40CE6jvfgxfqj9bXYfI4C1mIAj0BJAJju1E3sCuMUtPwOBFyGAaRyoVQJo46SvI4A213zjtWpdCmASARSJh1jsZpuAAzTDB1BzkhwqUhoYWxMwhsPG+1HcjnuP+JP+GOHexMmOE0D+PrF0KUu6q7pg6EzAxvEvLgp4JKwM7ctCjAIo+gAm5WnbDo/jBHousoTd3/Ll7L5ef12/f1wUcBoFUNe+tO9qBhOwDQFUfQDTmID/Dw/h1zgGU56+O7UCWKnITS/uZe+ee4Drr0lPAG+/HfjLX9IRwAceAH75S/ZZJYBrv3IvS6iqgTjui/OKqADqDC3Dq1qjACYGgawJmDH0Om7G/ji1IPdom2TAsg8gc+hPamRXXgncdx/wFD6GbfA0tsMTOAg3SOfVoVYFUDQBcwJ4zDHAHnsAm2wSX1aALUn0pS8BF1wQLYuEZctic/Yl4agvedJCzhM65MpQB7HXXwf+gK/gkKXXYa/81dis7Eds/IFFIpE/Uu0gXS4Df8XnsTduY6tUnwhggw2Agw4ym4B/+1scMe97OALfw2RDGhHTIHjG4q/gvXhG+9u0/vkA0kUBcyQt8TaCAio5dhOqAhh5fsLN7nDdd/FlTEY29xUAMQpgzAyoI4A8glJ/Mr0PoI0C+NeLq/C6w++NJoAi8fjYx4AHHwS23z6dCTgDL7UJOEANBFCqa10ZNYXmPoBpTcDigHc79gKuAxbd+xHM3Pk98jHCg5Hah6IAHnkk82++6irgGaHb8KoRX4Br8gFMUgBjsM02rKtwfzRtgmUfj+P9QAV49fapAL6IZ55h93PRRcA770T3b5QP4A47mH83bdQpgHHkSlwLOK0JGACOwW8weOHdyO31vLl8iM5rxaK9ArjrrsBeihXLhgDutRf7f+GF0d/KyGvL+pGPhJ9VE/Bhv92FfdhhB2C77aTjxOcqjn9TBVFI19+HB5wC2HAU8vYE0POADKqYCOZkmgENGnlSI3v3XfZ/G7CFS3bEQ8FvzTYBr1wZbn/xxfhycpBcFmefzQavHXeUyyJh2bK68gM+/7xc/6oCqA625TLwYTwAACH5s0C5DHwQD8sblyyJXEN683rppeCjOpjxlQVME/PWww/rfwCQ80aCMsXByq9HowB6OTZbqoQsyZz7UdwR1IWRAMYwEfV6kYG6gQqgaoJqlg9gRwdbUuuGG5hKkCYKmEXYss+tUABVEctWAazJBFyJVkDldc2KnMKDEfsQ8djxvL899xz7/6zSpdUE5eLnND6AXjmBAGoaXS4H3HknsOWWdqY9ET1P3Cl95+O/ikb5AO6xB3DLLfJYZksACQn7Q6wCKBCrJBOwmgYmOG5oVeL8pZZ76dJ0JmDVXSeNCfitt6Lb4kzAwTUVBTDAkiWRfXm9tbfLz14cC3XPrjiwmvgAEkKmNqIgrUAHSXCUF+B5wETIchc3Ayc1Mv6GFVxHUOhsTMBpCWBZIIDiJP7885qdNcjmM2hrA7baCth5Z7ksEpYtqysPoBp0ohJAVQr3vGiAiw3KZWAZlGbpZ2Q2moCFL3wwW5JnETjZhIl5MDspss3z84plaSUoUxx057YigHm9D2DShLIJXg7aFm9vo0EAbRTALOrzAUwTBJLPsxyMPT0WREnxAbQKBtApgIX0BDCmKAwNDALRPaTqSo0pQHgwEgFUTMAmqD5WQI0mYIEAatuK5n7aChS7784+W5nIBbS//ZrVfklpYOIg1g0hwL77AjNnRn/XHoSw7+Xz5gTG4vBCq+lWAtERQFIZSW0CXrJEfjzNJIA6a5YNAeTtI0IANbZcXm+FglxHYrl1dTvmfAAJIUcRQk4Uvm9FCFkIYAkh5HFCyMyYw8cEgrQLPpJMwOqi9zwQJMmcpzYskcQ0RQGkepKki6DVQmi4/NrNUABVAthZkG9K7T/VKjNPp0W5DCzHFHmjzwKMJmDBE5d31HJG9KymZgKY645s4+s+1kMAk0zAJbSFBFB5uUlSAEUCWIsJWI2KjwzUDTQBZ1GV2l1aBZC3aZsgEBFpo4CtggG0CmD6NDAqmpkGhp9cVIWqKzQOVCYTsCebgE1oFAGk5bAytG1F0+jE3pFWAWyrkQDWqgByiM88UlZKlUAOtkMuZ05gLFaLV00XBazr25lyKdGHnW/nfa+3V76vpJc9mQDSVFHAtRJA1QQcQPOGIxLANKvAjEUF8BsAxNHrfAArwVb/mATgxw0rVZPQSeXRIEkB5BHAHDYK4NNPAw89JG8TTbR1E8D+fpat2N/wyCPA8j69K6c1ARRGFW7G0g5IfX2NJYBt8SZgz6uNAG7y9t1RtcnviWLEldSBNQSwQgrBTqoKJWIwF1UAh8FGtKzHymEaVFauZOZGHRFKWt91BAV4bZZBIMrg1IEicll2vkaYgBsWBKKZaXKopDILqdBO6MUicOutQLEoKYCJx4lQfACN9cjR28uyeysgKRTAHfFfrI/5wK23YoJgobBVADurqzDp4duQTTDriScsFyvoRh/2Fzx46dKl0WOMJmA7ArjWC/dgPbyBHd66FvvjJmRRqc0ELJisbU3AYv/gz/2WW+Kj94tgg2Vu5TKYUkeJ0BFAAg974A54S5fHHisRwEcfBebPl+rEFCVdFcZPHvhlSgMjtlsC2QewJgWwnKwAdhaXY0/chlkz2fWWLElnAlYVVdPcPDzMujv/fWs8je63X/B/De+1LhNwjALY1mZWAHXjS2lw7BHA9cBW/QAhZBKAnQGcRCm9EMBpAPZqfPEaiw5Pbk21KoCmRlYqMSfiG25QzmWpAPLzxhLAffcF9t4buOACvPUW8MEPAsWqngDa+gBK5k+dAiiECFeGameARBkkVQLYEAXwzjtx2r274X34n7w9KQpYIICc3JSzoVySgWdOX5GdGN3mE8CM39FNpGC33ZhT8h/+EP0tktxVKcAICqAF3weQpDMBA8Dk4iIAjSGAQg5ghlpNwJqKSr2OqXq8jsh961vAPvsARx9tVADT+gAmKoAf/SiweHF0u0IATdfbCK/gv/gQ5mNDYJ99cCMOCH6z9QHc5icHY+Nv7I0Tca61Cfjdt8q4DXvhRhwYbMv0Rv2dTCZgfqFYAvjf/2L/X+yKN7A+vnLHobgJB2A/3GxWK2MVwAQCqOuMwvsRv+ZhhwFf+Yq5yOLarmJaDxOKxWgQyGdwBe7AntjhWx+MPZbf/5SBt4APfADYcMN4BTAggFlU/PmHt1GTCdhEADswXBMBzFRGEvvE6f/7BG7D3vhy9i8AogqgiQAGqd0UUmWam7/yFdbdjz8eKKCEp7ENfnPP5gCi41IjCSB/LqoCKF5TV7el4TFmAvb35UX9MBhtvsf/vgDADM0xYwod1J4Ael6UACYpgLqXYqA+H8DIG9SDD7L/N9wQLBNHhdHrgXur+PGP2XHDw5Y+ERoCKB0nqDJesXYCGFEAc/K5dD6AqQngPffot/s90RgEolMAM6ECGEcAeS4+EQEB9OJNwE89xf4/rIkjiQzqCqsbQQHwCWB7UhCIBh2UTdi1EMAJOfl6EXNKrQRQw1x165jag+qJ3B//yP5ffLE2/xxg4QsmrbXqJRPAp5/WbiaWQSCbQ3bq3R136YrCYFAAex67AwBwMK6zNgHnUMEH8Yj0c2a5ZtkcgwLILxTrA/j445FNs/Bu8OwUi2YsASReQhoYSxMwAFweXS0ugPgS1IEYqdCHTgHcG7cCACa880rssfx211nxbGSb+lncwAgga5g5X1E1+fxKSdCFsXoqlqOwahlMMJmASbWKQjb+BXjrPhbkd8iy3wOI+gCa+lIwV1oSQP4cL744XIIRYC/o4rPLolq7CTjBBzCNCXhkDCqArwD4mP/5UwD+Synl3WttAPEa9hhAhyePBkkm4LQKoCYIiF0npQ+gLg9gXO4nsbN+6P0j+MEPmBM7oM91FEGSD6AwU1SKtTfMSBBIVnbYUN+oalIAEzJwGwmgJgikmrUjgAXNqhiBD2ACAYxDEjkaQSFoLGmjgIHwPmvxAdxiI/l6kXamueH3bRHdFnlcughNhTimIYA5VPR9SLg3Xf45oHYFMO2ztjUBU0Sf4fe+y+7D1geQo4h2axOwjrjnlmsGu3p8ADWZjNtRRDZr8MWMmaXFydXeBCwcbxl3Jt6jzTKHcT6ASeD33lkJO5qtAlhVFEBTfzcpgAAwaaHZn8ikAAJAW6asvZaK2UOMAKsKoOkxB9YySwIolUkh7qI/s+puokNLTMBDY08BPA/AcYSQpQA+DUDMorMrYEiENobQXk1nAlZ9AJMIoGkt2UYEgcQdJw0k/kl47jPj0m3i5D5KBLAzK1dkQxTAhDX40iiA1YydD2CBRhuErQIYh0j71BBA0u4rgDWYgNtIAgGMYQgq6Y0QQE3n4gExIpqtAOZRTiRyJgUwlQ8g8SRzZZpAjnoIYHeRETFbBZBjGB3WJmAdASz0pVAAbUzAGgLYhhIIMTyHmMInEkCdAlgnAdTVkQodAdQ9Ux2CYIlyawigOlZPesecUsKUBgYAOrLxabCGMswhsbO0EkDUBzANAcyhgnI5vu9RKqu1XRisWQFMSwDTmIBHhsaYAkgp/RuAnQCcBWBXSun1ws+LAfyqwWVrOFQCaBpDykNlDL+zIp0JuFrFytf0MnmsCbhSAVawxMOFgeXIomIXBUyIVgHkK5VzAmhUAMUeKVSElgAKv3ulGpgMNOUE0OETwKlYCgJP6wMYnwZGo1AlKICTq8uCaEbpesIXPiBUswUrH8A4AkhMQSBLlyayBBsFMCCASBcFLJa7JgKo3HPkRUMzik4pLw58Io3ltCCAaXwAc6hYE0CTAsirYdkypUpEBZBWQUjYX7XuIOuvr70+abOLAta9DM1awSZmWx9AjhLarBVAnbrV1pfCB1AwAfeAjXHREzaHANZiAo4lqsuWIRN41oUV2JaxI4DiM8jAiyeAy5cD1Sp6e0UCGHa0aiUc/9KYgE1zCqsWimnojSiAPe/UqAD6L5mmYXlh24bB5ywquPdeOctGGgLYka9Kv6mY5q++IY6VKgHUKYCqIYS3j6aagMeaDyAhZCcAT1NKf04pvU/5+VwAqTxzRgNtFTsF8LUp2+PHv56CDSGH98emgdl3X3zy6GnYCFFfjlgFcIcdgClTgP/+F3/951Tcir2t08DwOV2aILfcErjttkQCSEtCjxRO3kwFUB1UOkgJO+ARLMV0XInDUyuAKqEEEK8A/u9/uP6+aYHzvHQ9oQ448VdNwKY5R0cAuQlYqwA++ywwfTrwiU/oT2i6FR0B7GDXSTIBDw431gRc8OROYGMC/tYrx+JW7C1tszEBN1UBJMQqDcwTTwDTpgEHHyzsINwjf6ng/XWttTQJgacoqYmCQtauAK613LDSguZmVRNwrAJY1qsVHO2r4hVAnQl4dvkNLMdU3INdoscaCOCkSekJoFjehpqAX3gBmDYN/8K+kf42sT35xVi3FJyRAM6fD0ydire3+ChmzAB+8Qu2uasYelrNWTu8T1OUdAW5YP7hBNDU3ysV4FT8BL2Ygc9Cdn7siVEATT6AANCeiVcAK8Iypny+ffPNyG1EoCOAPKhQRwCPwy/Qixk4qvKbiAIoEsIsqpG6VL+LCiDRzUECbPIA6ppyeXiMKYAA7gawueG39/i/j2kUqnZ5ADctMWv2Pvi3tD1WAbz9dgDAQbg+8lNsGhgeBfCtbwEA9sB/UucBjBCh730vSEZtQwBJkgIozEjVUm0Nk62sIpeznZTwFbDw18NwtdYHMA5aH5o4BfDSSwEA+4Ol4pAIoDBCBQQwZ+cDmPeiDYIWYgjglVey///8p/6E0SIxKPdWQhtyXXZRwLp2kKd1mIBpehMwAHwUd+KUU8LvkWtqOhef0HM59tJTKtnnaLv68gQCmMlYpYG55BL2+cYbhR2kIJBqUEYOHq+l218qQpsdAdS1986RPv2pExTAYXTU5wNY1gQ9JASB7NzP+t2HoVYMtOrJZhuU8M1vGghgPT6AKYJAJFx1FQBgL9weUdwntCePi/PnpyCAfkOb/RKbVn0jESYMh8rrzdeGfcWcBiaLom9m3W7TIXzzm/Em4DP8Nc0/g78BABb7sZ35otmZXFQAq5kcLsUReAvrAghdU0wEMEfDdrL7VtGXCtNj5i9tEgH088rq5udf4HgAwPmVb0oEsBNDiQqgWnaRAEp9Q9OhbEzAqwsBjHNWaANSeLSOEgoj9nkAAaDHXxOWh9En+QAC+rd0qyhg4aS2BJBvixDABQsSfQClaF7h5JE8gEr4Xa0EcHg4Ws42UpJUQV0ewLjougy8qEhl6q2azmkigNz3s5oNl02w8QH8Ev4Ubpvkm4CrGgIYWeJDDxsfwMJEuyAQvmC9iLoIoJfeBMzxk58A//634ZoxCmA2G6awsDUD775T7QpgYsJkJQ8gIC9jFnnMvAB//rNcBN8EnJQGRqey8Gdo4wNYaxCINskv1Tg6JqSBaaMxWXo15T1g7xK6ugzR2PX4AGraGCHmcUgHtb9N6EgeF+fNq90HkKNrKCRJW25cCppSnAl46gZsMvjX3/vxta/Z+QAG23yFLlM1359IAP+39/fweVwaWEAKCSZgvlQmAPzgW1GSaXrMfLqUAjoKZgWQ50PMoRoxAScFgZimlEwmmQDy8udyZhOwrh+Wi62hU/oEcj4IIXMBbCBs2p4QMkHZrQPAFwFoVtYbWyiU7YNAAGCSrwT1YjpmYZFVImjVzAlYBoGkJYCEBA0zogwsW5ZoApYIYJwCqLROOlKbD+DQkIYAekWpvnQ+gOqbtgjusCuti6qONPm870xYjZg0pYFeqGBOAL2cnQ9gvsrKOIQwc3Pb5A6gN1QApecXSfCnR5I6JhJANQ2MWg2NJoCq6mmrAAbH5/XljCOAmQxLYjs4yP4mTowvIy9HEgFMSgNTrRpSmEhRwB5AKbLZcMcIAeR1wjPx8iJYBoFo11s1EUDNScT0FxSkLhNwsI9ouk1QAGMJoK69+O29HhOwrQ+gCCMBFMaPiAm4Lf6cxSLw2mtAgVQC1+V6CSBKJXPbFgggnSBPBnEEsIJssGoI4GcagJxaR4VoAuYvM/y4dhJvAs4LCmB7KapWpPIBjCGARbSjy18JTDUBi/OzLghE/V6LApjPpzMB1+NqlQaxBBDA58GSPFP/70LISiD1v1cAHNOMAjYS+bJ9GhgRi7EWZmGRWQHU+EppHZ3jrim+PWerAPfbqEUBBNAzoQwgbzYBF4Wb0PgABveoFLhWBXBwMFrOAi1J23Q+gHEKYBZVlMsJBLBQYKOvhgBKk7pGAfRsTcBVVlmDCCf29h4eBFJVT187AdQogG3dXAGMDwLREsB6fADjTMCauo5c23TNmDQwmYwmiW3SW1w5WQFsxEogAABKUa2GjSpi1TQQQFsTsI4A5j17BXA6WRaQjwJG6jIBA4glgDofwLQKIJdmW2IC1qwEEgeVAHa1xbfDF19k1TBzWhlYGi2nLboGheCbYtGOAHb7/kC+TB8XBLICPZjOC4j0CmCmnU0gJX+VFL7dpADmBQWwoDEzN4MAiqJCJ4aCewTSm4ClZxhDAOMUQK0JuEUKYJIJ+BKwFC+7gxG9Y/3v/G83AP8HYCal9I/NK2ZjkCtZKICap7EYawGIMQELUSGT0Icn8T78GscG29iDp7gDe+ALd35WX7jloXNvRzVcViGOAPKGqSOA65VfBWBpAhYm7AgBVBq1N1I7AVTV0Vy1hBwxE8AkBTADL3kliZiFYJN8AG0JYM6LEsDOKYxNaE3AEtMwEyUbAtg+ySeAtAYF0KtBAfTJS6wCmETKSiXzmtMWCiDQWAIomYCffRaYMwfYZx9svt8GuBO745JX/i8g8hLUa1er0tJh2oh/AJggG1FUAnj++YFLMHDZZZiP9bExXtYrgP4z7O8Htt4aoX+l5tnNyC0LPhcwoq+P884DNtkEWLQo2JQ3EUD1BgW2xX3JxLK0SgGsOQ/gYYcBe+2FbCZ5Wbe0BPB5P4Zi9oz6TMCdgzUogBPtFMBKhRFAEZwcxSmAYhqYrN+WuQIYrKtu4QNYNwHMs511QZrcJA2kTwNTqwlYzbSmpqwxHAZgjCiAlNI3AbwJAISQXQE8SSnVLKG8ekAlgNoxRNN6ejEdADC5vQQUWeOjVFCQhNnvIFyPTfGStBRZHmWsjXewB/4DFuikSS8vKIDtI/1gyytrVgLhiDMBA5jmv8VZRQEDrBVms8HcFKzsYDABf/7zbK3Ms88Gvvxl5dw0ajLTKYAolZDLUfAXI7UjeFWKTgsFUIJOAQSSTcAJCmCcD2BeQwA33LIDuJUH2FCUy0KFCA2vC4MYhOpVwZDoA5jpQH6iPgpYXZlD95JQkwm4sxMYHESuGuMDmETKVq1CPt+mv2YCAeRm1YBo1UsA1SCQm24CFiwAFixAG4Dd8TowBKyz7H8AtoucW4LnScNH5N5MJmAlDQwA/OpXwC9/CeBzn8P6AM7H8fgX9o0Un798XHMNG7qefRY480z9zU7PhC+ZRgXwxBM1Gw1Qb1CbHiEsy2iYgCNLFAJaNpKBB1x9NQBg4harAHRHjxPGD/XFtDOBAPIVAJllJrymkQBKCmwZFeQxHUtQKAk3ZEkAVX+gOBOwiQCmVQBtCaBoAs4N2puAdUEgcQogT8sFRNPAiGOjjQLIhYOICVh5CLx/ZTLsL40CWKvQkhZp8gDeuzqTPwDIFi0UQM0gtgxTAQDHHVMOFDlpnhJYlpo7EDDnSDKhrRh2hFoVwAkdVbVoEiJLuvkXmOEv6BesaqK0Tlpm+335y2yf7ZQ5EdBb/3Q+gCiVkM/G5LLSkIEn8T70YhoAQ9LOFAqgRFI1PoA0b+kDqCGAha58cGyknMIIpSYbj7uVCAHsmBTkAVQTM6ur0mgJoJeQB1D3IH0brEoApXaWlPW6r69mEzC3OAZV2GgFcJ4p35lmolYLr1zAlgCqCqAOWVT1CmDVYGLTNNZpJFQA21BKlaxaC5soAg5KUUhrAo4jgJYmYO34pyln20g4teWy6RXACQVhcteYkIMk/0K+wFgTsCBdct/NLaC0TUsCSCbLJuA4AtjnCw9BuVP6AJoIoMkEXBAIIFnVH8kGlKQAbrSu4EMYkweQm6SBqAKopoFplA9gXQSwHNM2Gog0eQALhJDTCCEvEkKGCCFV5a81lLUOZEoWaWCGo4rTUp9wkEo5OgEBkvzRpUmHaLNMkIi2Ujhqxa0EwsuvG0gmdLLWZ60A+heYMoURoxUr/AFCadTcB7BQgJSkVYRuYtEqgMUiCrlwm3pcdiT6LMrIB067WhNwnAIYV06NCZjm06WBEYNAxIyrPEO9roy6FwYOSoVie16kwXoTusOl4BQTsLoqDaGatCCKCdiGRAQm4KowaGbZe1NwfBIp6++v2QTMrefWBDApCARKImgTAdRFgTSIAKpBIDpQkAjpAMJnaEoDImIKZAXQ1gfaiDQE0PPQ7sWsl9skE7DWBUbTxjqF/HoFi6TO6rNoy4XH6JoKv2SeWJqANQRQXQsapZJ5vWqRAE6SFcA4H0C1PIECmEAAAxNwh0wAucJnahrSi6swLnAkmoBJ1ARs8gEM9mtQGpgkE7BIAAmxNwFTCiBGcW0kkoJARJwLFujxbwDXA5rRaIwjMxwlZ56n+IIpCqAHEsriIyNoa2N9U2pkAsuaZFAAJf83nY1U3L8YJYBpFcCudjYAGH0AVQLoXyCbZQlve3vZygczC3oFkHdUXdZ8EwGMREhzE7DhOFKMThgjKATJoa1MwJzdeF5E0ZLmEJ0JON+WTAArFWRpFR6INMggl2N/pVJNBDCfZ0Uql/0BRzOCehMnAW3s+EQFkEYnTJUAWpuAEZoeAWZhWrGCmZ2nToUVAcx3G66pGb1FAthwBTCTCRXAfAV46SX9eXT9Vb22Ul9GH8DOTnl7PpkAAnpLQrZqkFY0z24KZB9AGwWwiLZIhHkA8eFRGr/+oOfVrADWkwamVGJ/krKk6UuFSjjWFEjyC7tKAEU/yUolOsQHCqCiAokBCBIEl6BOP3ihVgUwM9neB7BL8fcMFUB9ffMsYSEBVHwAaUwewGpVWk0F/f1SHk1eJh10PoBxCmCcCbieIJA4AsifSSbDfLDFe41TAEdGagsQqgVp8gAeAuA0Sul+lNKTKaU/Uv+aVchGQUcAIw1MUQD70R00ZpTLUQUCiFlvjSGPsjy484ZiiJTMD9mZgLe+4Uc4DadrJ47OdoMCeMEF8I47Hr84W68AAmyRCsAnEeos4feGSc89CBx8MNqWvRO5tm5iMZmAczEm4Gw5OmGICqCWAKob+Gin8QE0EcCAlBUsfAD9hlBCm5TwG/nQBBxHAE0mYF7s4LnrJtduQQFUVuaoRQFMFQQimIAnyRamsNDq6zxHShNwMwngUJHgjTfY5+4lrxpJTKEyhL/hcOyDf0nnlmCrALa1BblFAVgRwH3xbzmwwkfWM5Auzc1O9qIK4HFHj+DF9x8BXHut9jTSS42K2MVoo+VRc0caz8XhO1v/aOnR+Ap+X5MPIBD1h01yUTAqgDFpYHJUPqd0iVWr8MmrD8aD+D988KFfBJttTcC3Ym9siWdDAsgnBVMU8NtvAwcdxLYji+wUswn4/POBE04Iv6vWqiQFkF+XE9tcp6wA8iAPbbdSNy5fjouGjsRnBB/5RAIoWD6+/9hB+DDuR7EI/O53wNFHh49MXFFKHHN1QSBq06qVAIoKoFqvcQRQXTKwmUijAE4A8FCzCtIK6AhgZBxRCOBKTA7fEMrlwAldyi9lktl85FGWO3u1ylqPYSDKDVsogJ6H999yOt4P4GZ8PHKOyRPZ9d5R+dm3v40MgAGsLW8XLsAJYG8vgJlKEIivAK5/xIcBANPy0wD8Xi1aBCYCWMiaTcCZkl4BFE3AkXUby2XZiBETBCIdW6sPoD8SFdEur1usmIClayUogOutB6xcyT4HTUTzWksmdQPtbHZLUgDjCGAhfL+REeMDKBKPSGQuP1F7u37kT2kCbqYPYLlCAoIw8S3zeqe7PHk+3ovrcDj+jiByWxMEolxahpAVtoh2TODuIpYKoA5GBVBzs5OqMgEcGgIGfnspNsXlwKGXa583I4CG8U28wSS/T89DW5wJ2JQG5okn8OmVv8WnATxX/Wr4m/Dc38bauBhH4lScCSBKrPr6mFUjQJxSiRoJoDJhl8vC+8/dd2Orl6+PnM7WBLwh5uMf2D/cd7PNWLRPqYSsHz8mVd+xxwbrqVWRRbbHrACedhoLlDn1VD0B5EQuiQC2kRGAAjnFBFyIMwGrz+Hee3E47sXhuARXgGXLSCaA4TmmDS/A/dgJfy1RfP3rbNsXvwhsv718XzMQDo6dGMLczbvAres6BbBeH8BsVg524dcxHIZSaWwqgDcD2KlZBWkmFmTmAgDIcDQraKSBKSbgXkwPFcCRkSCgSnqrTFAACxiRGwq/qIkADlkQQGHDZKyMnGPaFA8TJjAioFuYfhqUjcIIIgWCGIJAOLIakqYjSqWSKQgk3GarAMaagFMEgZgUwDbfrGDlAxinANbgA3jccWzJ0YhCpiNGUycFjEjNy2ejAGZrUQD9ncXzRfxUeds05Tvs7x8zCqA4AU+IIYBdRU0nqlUBzOUkp3TeRmsZ9JNMwPfhI/gjWJj+hGpI5LjpLC4IqZTtMJsoAfkGE0hVognYpAAK47FOAby95zBshFfxA5yBD+N+ANF6tFmnWkTewp1djQJW876qCiAAWfX1yym5xYg3qGSwXhvvhOZOLrmbTMBvvx2eUmMCFgTEIEqau5uoBHDd9eMVwGCtW98XL9fJ9uftm79kWimAGpiEXt4sVGIFyO/KXM8RTcVrYXHwuQuD+MiOcmBOM3wAx6oCmIYAXgjgcELIDwkh2xNCNlD/mlXIetFPWAfIDKU3AfdiuqQAapdYszABRxRA7cUZsgMWBFBolToCSLwqNt+cfeY5qERMhGIXMSmASqMmlbKkNlXXXjdybpM7T5IJ2EYBTDIBR4JbYhRAEwGUjm0xAZw9m0Wj2hDA/JSJRgK4apX8LpPVqEs8gjQVAfTrU/QpjKQqEkydWjSAAAb3lmR6rFRi3Sg4ASQEaHvFTACJTg2t1Qcwl8OISAANCmBCLm0AQLZiMKv69bISk4M8puIKD3xC9GKmgHK2Q27TkR3SKYC6NbMDmAigEGWmI4BL8rNRRAcAgtewIYBw8pzKkjdEh+ckBVDwATRlClCD/dRcidIlfDXvKbxP2icDTyYGYh0qCQxXYnK478SJ7L+JAAqO2R4RooAVBVBIPYtqlV1eJR5Z36RrSgMTKIA8qbxqAvaSFUAvJhdikgKYRAA54ghgVjDf15UGJoYAZj17Algsjk0C+BCAjQGcDuARAK9o/sYkOGEgNiZgRQFcghkSAZwk9yWGBBNwWgVQPJ8NAeRrFkvwPGyxBfuoC2yMmB6FC0gKoJoHsFLBJng5+E40xELHG4rFMAhkmPsVFYvICQogrcoH6hRA1QScSgFMSQCr2XQ+gJIJmAeBQENUY3wA+eDCn3scAZw4OWskgICgAhqYBCcPqdLAaAhgpI2KJmAd+vrGjAmYE6CJEwHyguZNKYCmLtIogDwIiRAWeGJBAG2CNJIUwCqyWhLHJ8SqokqJGMm2xyuAYt0nqTnVanoTcBwB9K9dpuG9iS+GQDiORYbnFAqgRACFe1RfoGN9AH0170lsK+2TRVWeF2wJIE/WaiKAQp1RIuQBVHwAl4UxQahU2J+qVHnZ+ETQ/Lo8ujnflZ4A8iwbOiQRwFwCAeRDWBwBzNHwIo1cCUQkgGoAV9xawGPVBPxFAEf6f180/I1JeJTdJhkaihAWGwVQZwKWCKCFApiKAPLz3X8/Zt74O305kwhgNVQAAwIoTOgRBZD35Msuw7ZLbgXgE4iIR2xFikbLGiKrVYgKYJAupVSSIgwzVeUtyZAGJlUUsJEAUrlONc+iSNusfQCTFEBTHsBu9GN7PIZv4QIANCCANkEgkyYhYERTyotxHr6DjfFyMD+ccQbCe9cgWx0BBgYw+7KzMRevp1IARRNwZBLyCz1sCiBQFEDpsSQogBsvfwTH4kKUilS6lhGWJuApE8vmCGDoTei976bwARTUP0DOS2YigEm3BgCZSrwPoIeMlgByHzZRAVx23BnSPsuHG6sAFrwaTMCCmlWthA3ltZfDKNfgd4UAckvGd7/LcnvbltXoAyi0zZ/iFOmnLJWPkS7hkzmeTzY4JgUBXIGekEQIBFAbIS0QQC9jTgS9Qpg2uAKoEkCa4eMfDS5y773AN7/J4oYiCqBCALMxJmBurVmJyaCRfGLsWScSQE0QlE4BFH02ZyD0j/kIHkD22f8F3+PyAO6LW3A4/laTCVh9QRCPWy2CQCillzSxHE0FBZuMOlBEO4oYFvK1qZVPh4uSIK0qgFoTsDbdfIgsPPkNgF/UNBBxB8OddsIcANtjO5Qq75f3EY7laxxK8Dy85z3s42uv+duElh0hjZUKS1f/uc9hPwAAZSYClQRUK9gYbwRfTal1VIgEMAjJL5UkczLrzOHEmClHe7JqAo4MEGrvF6OAK/KbXrUqqBuakaZE05mA44JATArgRKzCY9gBAPAyNkE2u69U7DgFcMIEAJMnA/k8usoD+A7Ox1Qswy83ugT/+x/wxz8CP/gBsO5aeikpUx0BTjoJs377WzyIX2H3shIxZGkCjiiA/oeFS9qwse7C/f3IZpm6wnMdBukfdKZunmQ2A3zjig8CAK54fhMAezWMAG7SsYBV9rrrKmyBIZLCCMAzT5Sxu7ihWsXs2aELVr0EsFwWe4MeWQ0BpBQgggKoU/F0CuDUX8pRxkW0a03EHggjBGkJYDWGAAoPZ3CtDdC1eD7rW0IbZISB1chfL67ixwCWLAvLv812OeCJcPJci1m+8eKLwOGHAw884O9Yqwk45rgN10s2AQ+iC8VJM9Dex4IQsqiaTcCKD2CtJmBJAVR8AMXubSKAyGRQRo6ZuCsVoFDA0Uczt6ILLwTefZftVghMwHIaGO5momse1aEScmB9gUycGEa+gflYFtGRTAA1Crg4BfDnF7cYA3n8seBznAJ4ix9seUl5PwATU6WBUQlgkg/gWFQAV2vwVRpU342IG8+grDptsMN0HPvtMExSqwAmDX5QnIb5RU2tW9k+E4sSlwUDAHzta8B+jL6hWg0iloNdhXKKSWH5/qqtZGQEkdaZqZYlCb1uAiiYLlU/Cb6ObjUTvqckmYBJSZlkxDyAws6MAAr7aZ7hMOlMJoC+y0AJbaBid8pmJQIoCZDCsxMHptl4O6IABsXStJV8Hmxwv/NO3DydCfATMICLLgr3WbUKRltitjICPMQC+9fGuzX7AJqCQErUYD70R2ht9LHm9Z3nQRNzTnb1viFdy4iERNCcAM7qWMk2TJ0a3QlRBbBU0kyWnofHH0fgeqGNMs/l4HlKepU6FECiIYCeh0QF0MYHcBiKArjrrqA3/xO3YS92bCk+CGTl3G1Auc3e85C3UAAfwQ548LyHwnMK56VF4WXRn3hLHivfGWcA194gK4DrrRee/sEHw8+01iCQmOO22KSMm24K4zN0JuAhdOK+Xz3NxmmkUwBXYWKgsgUE0JQGRlIAc7LfBKXB2CKiUtH7AAIkbAP+MxJ4WmRJtmxHAY8+Cnzxq74CWDHnAeSrUZVRiCRH5/N0EgHUpUESr6UzAXM8jA9EtpmCQHJCX+dkLo0PYFoT8JjzASSE/CXh78/NLGg9oNSeANIhmQBuvvN07H9wuFSC1gfQIqW+mGsoUQFUtlOQ6CV0PePQQ8PBwfPMvlnQEECevVQthtI6c6hgrUwooZNiVH1MRQAFx3DVn4kTwHJHd1imOBNwpeKvvStANAELk0ke5UQT8CC6rH0AtfnS/AfQnq3IlzAQwEF0BWN3xAdQ08aCcX6nnfDQ1I8H5Vx3XWCrrYTjDQQwUx2RzpvOBzBqAlbbmdF8WIrxPdSt0qAhgNWyp1zUAEsfwBntfofu7o7uhGgQyNKlmkG6WsXMmawb+pcOIRDAalVQAAkJHnajTMCVCqx9AJMIoKQebrIJyMc/hmqGbSsPG8iLj8lf+xRIj59Ev1q1MgFfg0NRnTojbBwCERIJIJ9A+cvgoYcCPdNCAtjWBvBL+0WPLasIGx9AjlKG9XtSrWD//UPSqTMBD6ILdK2ZwMEHB+UU2xBfZ108JiiTT0CouCC2jQKYyYYvo5QClYqWAHIDiU4BVAmg6CUVBGPw4woFvP/9wNpzfQJoWqoQQHXYJ4AkSgB5nzf1AU48dUFQRY3WoiOA1+KQyDaTAij6zPP2YWsCzmZDcYO7xSSZgFulAKbJA7gbop7QUwBMBLDS/xuToDT0O+tUzKU6E7CIcs8MIB/m/dIqgH6LGUIHOqF3dJYIYJIPoNICPWRifQAD8EUHAaBaNZrmAI0JWBMkYSKAM0hIANMogNyMFpClUklSBSL+HP7DKbd3o32QEVZRAYwQQM0yfhIBFHbOo5yoAA7QLskHUMvzBROwhEwmJIC5ClAVcoMJo6EYwU1BzD6AmpFQdJupklBtzGQUchWnAMYRwDoVwLKlAihNDpqZgr+0iZNx4A/WIBPw1ILfofkbngLVd7i3V68AAgZiy8uZzcLzhPaSzUovGdAcEgcdASyXgTZBAYwzAccRwCLa5TL5xMPL5AEPqAyXw1avG4+EZOioVqXlAyPwy1tBjh3S1sbOaUkAMxlIQVc9PaGrHABsLPoiJJiA0xBAj8hvP9o2LRDAtjYANBy/xDZUHvQNp54XCUbkfcDL5pEVFL3EIBDfhw9tbayMpRLyGgZoNgELCqB/EbFoIQH0b5ifuyATwDgFcIS01a4AakzAtgRwFSZGtpkUQJEA1qIA8mjlYXSgA8XVLw0MpXQupXR95W8SgF0ALAJwcLMK2QiICmAPlmNX3AWA4skn5f1UBbA8ebrUq7U+gP4TfBezItetTmOhaHvgzsj+aq8IIgP7+oA77gi2e8hg/nzmohdAN4hls2HnFxTAoIEJ14sQ1YgCSNnuSuvMoywl0iSa1DrWCmCxKK0oEZHzOQFUFEBjIuinnope2JYAakaaQWphAjYRQGGh5DZfAdQFdMxGmLOrC4NmE3CcAggETtRZVEXuKalBKjL1EEBhADOlgWmUAtiOErowgA8NhX2iXG4sAZyW8zu0pQK4ZIlmsvQvwO/r0UeByy4DFi0SyqkqgEKf1fkAJoGUWX1tjaexsR+db6MA5lBFJi4RMTQmYD+qm0eGlofjTcDI58MX0mKR+Q3ycov3+uKLQd+tIsvaLo8gTyCAvHyZDIJ6zKOCnh7ZVCmSwWoxQQEUnqtIAFcsid5jR9Uvn/98pTY9fz7w5JMSASwUII0p4kQ/3O9fdyhqVeGEiObykknXSgEEpGO0JuAyxZxX7sRU1TJEQgXw7TcruP12vQIYECw+3vJxohISQNWgEJiAM4XI8ohGAjgygqEbb8fD1y3EZ3A5sqVoXYkEsFwGQKk1AYy4BvllELM1zHrpHuDdd1MRwA3fZQ6ofO5TTcCVCpvy334buP+ad7Ez7o2UrRmo2weQUnofgF+A5QlMBCFkL0LIXYSQRYSQEiFkISHkakLI5sp+6xJCriWE9BFC+gkh1xNC5tRaTpEAPoodcBd2x0G4HocfroSNqwrgpGlSr9aagP1WqiOA/NhjcVFkf3WED6JjH34Y2HPPYDt/Sz/qKLFgNSiAcTMKdwLxEUjhGgVwGhVMwJrk2qY0MLooYHFN2TzK0iDBk4+WOy1NwB/9aPTCdZiA19rA3gSsJYD+A2iLMQGLBLATQ8GAnuQD+DrmSutm0kx6BTBTLknnTWMC1iWCVtuZmKJDQpwCWNSrRNfgUPzprbBPVA0EMJJTzJIA9mQFE/B222lKINeFjQJ4113A5z4HHHmkcHEdARQIgQgrBbBcwgSswtPYBi/jPeFxCT6AACu/LriFowglDUxAANn5KkMJQSAiAVQC5YJ79Ty2ssV997FzigogIJtC/bZBaTjxSgqgQHx6JnlBGhixeH19QGkgngCKkzongAsXAg/dFz2umO2ULiC16Q03ZG3JX5VjCJ3sd+FlTbxWcVUyAfRyhXQEMBslgOp6uwAw6Z9X4Mt/14yfJFQAt39fBXvtJf8c5uMLTcDi9Uh5JPqC6IOvR19JYwI+5RR0HrgXFmJdXI4jtEFQIkHlIkZG085NBDBJAfy/33wWWGediAl48bt6AjidLsEnHjgRAFtaFogGgZxzDpvy11kHOOfy2fggHomUrRloVBDIfEDJcmnGFABPADgWwJ4Avg9gCwAPE0LWAwBCSCeAuwBsCuDzAI4Ay0F4NyGkS3fSJHDS0YVBbAQWFrsb7mK/if3Nbz0P4wP4Iv7MXh2F2TTOBCwRwEMOAR55RL8eqiEIZAid0X0B7LYbG4V4xBUvSwSZjFYBjCOAwYSpEKQgclWZNQsYwRRvafC9LgWwVEI7CQlgZIF6bhYSFECjCdjz9CqEQQG0CQI56riuZAXQv+YICvjEJ4TtAgFsz5kJ4DQsCz5bKYDvex9u3Ox72BV3ywpgRlYApeNNaWC8xpiATWlgyiYF0J/IuSojraojJicTsA9ulb4HJmA1955q7tQFgQjElhPAiVQggDfcAMycKZ1GpwDywT9Q7v0LqBPs4sWIBIE0igCS8gjmClH5gEz6TQogoMlPqiCiAPqTNPUVwMpwCgKoEPtgAuQLMfuoIisTQIE4cgWwUomagAOS4X+fOrmKL3xB8YUF892MiwgF9EEgr7wSPe5/eC+u3+i7CAoFg6rtZ+IPFMAkAuifq1iYiPvxYQAhAcy05SEuSJ+UBgaqAlgsahXAyXdcE90ISD6AurYSMQErCiBGRoxLTXrDggJoMAFHhq5LLpHPsc++kTJFCKAuLwyAw74eDfiyMQGzC3sRBfCN+XoCuG71jWDbqfgJAGCtqbIP4KWXhsfpyGqzUDcBJITkAHwBwEKb/SmlV1JKT6SUXkspvZdSehmAg8B8CblX5lEANgBwAKX0RkrpTQD2B7AegK9qT5yAIZ83ij6AxO9IUtSQrwD+GV/Cxfgi62C1mIDPPx/YYQeQgsHjVr0wQpVSxSEH0+juutlBmEySfAA5+jAp/E0xkerUoxlYIq0qUQsBFH0ASUkmgFKH93wCqCiAWgLo35uXy6NXTCwqpoFRFMAkAtgxTfYB1BJArnYhj7PPFrYLdtiIAmgYkEQCaHx2M2fiii3OwpuYq5iA0yuAuaQgkJil4MQ3WFNZRxJ8ALVqurqGnQGmIJAIAdQpgMI98zbZXvI79KRJLBXMeefJ51GigEUFMCBzigLIUalAIoDVqtAHYgiglQm4Uoks66gqgJE68Zl3G0o1EUAv5xPAknCs7uUrlwvJiPI7bz/es/Ok7RXkWHvSKIBkpBScSusDiNAkPHVSBe3tTFkRL5/N0MiqHSp0JuBKJUoAj8f5WFWYEu4AAwH0v+gIoHitQJn0n91wvhsn4WcAwnkr21GQyJxWART6bSAGJpiAM0OGVGaCAqhrK5El2RQfQIyMBJvUJkJFBdDSBEyV5PKZc38GfOEL2jIFx+t8N0Hw2WMnR7bbKIAcKgEcHtSngZnmMZepf2NvPIgPAQDaslWcdppfFs/uZa8ZsA4CIYTcpdlcALAJgKkAvlZHOfhrP6+G/QE8TCl9le9AKX2dEPIggE8AOD/tBYZJF0DlKOCRHFOipPbhvz5wlSqTQW0KoD9YkopmFE8yASvgjSxxQqhBAexHN3qwUquQ6cjD2vBzxc2cyZybBu0JIDc3lZFHlWSRpVXpDT+PsnQsjwIWCeAICoEJWPIB9D/QbA7VipKPjxcqjQ9gLicpGDYEUIxSFRXAQrYqX8LghN6FwWQTcC6nppRjt+c7o3MCaOMDSMojERMwX6yCnVRznF9Am7WAk0zA2r60ZEl0fw1MQSBWBFBoB5xItI0oUcCKjCfeL6WyD2AR7ZiE/ogPIIeOADZEASwUgJERzMSi6HEmBTCbZQRwYCBRASyiXT7Wn6SpTwCraRRA5Xd+r/Q5mQDGKYC83YjpSiQfQISEsKdbfhb88pViqE6biKAuCKRajZr8i2hHldePzgSsQGcCFk3wKgH0SDbIpxcEQuUtfADFcY7nNEwigIOrohsBewWQplcAuaLLFMAO6TcTAawWOmTS0t0d6asRBVDzMAaz3Ziosc6ZEkHr1szOZOQXYZUA8uFzqsdeansxPcy7Wa2KWo3Vy14zkEYBzAAgyt8qANcD2J1S+sc0FyaEZAkhBULIxgB+DxZIcqX/8xYAntMcNg/A5prtieAKoEgAq1nWKXSRpIGzZhaJPoDlkkYB9AdLolsmLqUC2Da4HHmMYKSUIA0nKYAGAhjspPORUzT4gADOnQsAIAMD6NBEVovrTPb1AYW+XmzsrxboIYNyRjabAYICWCoB8+YhX2HPwmvvDAbNJAWQZrJyQuaYIJBYH0BukkjyARRMwCYCGOcDKKITQ2gbXgmUy2YTsE8gADUIJIyAtFUAMTISeb7SV50PICcrtIoe32HclAam7NkRwKCLUGqtAA4PeuxNPyUBXLUKGBkKj+GTWltJIYDqLCnUhecBDz1Qxbq+0SOtAmgdBTxieG4cftuehXelzaLZP+ID2NUVLh+Ikdh0E5E0MLxP+O26f1kZr73mV01SEIjyXIPrKutURnwANQQwTgHk36dMYr+rhKw8GPZXE3RER6cASgqpqgCORPtOkgm49x2/s/vtSFRvg3nLhgDq0kwJZuPIohsAMkMmAkiCOjURQAIvXGeaTzq84gXCqQ6x5F02l1Q1JmCTD+AwVdJtdXdDvSFbAqhzhmykAhgQQN9nfglmhO1lZARdIywTx/Ll+gQWrUCaKOBdKKW7Kn/7UEq/Rim9p4ZrPwKgBOBlAFsD2I1Syl//pwC69c2wHECPZjsIIfeY/gCgmAl9ADnK2agJmOvH3EQTZwKmFPjFL4AnH2WNgC+6DiDspCs0t2HwARwmegVw1klH4BVsDK9sHqyDwgoKoGliFhEQwLQK4KxZwWj3LmZhElZimm95PeYYlk/3jjuYS9f2k1/BXS/MxKk4kxUNmaDuRQQ+gB/+MLDllvjsc98H4Dsy+4Q60QScyckTniEIJIcKKA3n9UhyWG6SSGEClghge3tqAjgXb2D/Y9cFPvlJswKYzcYSwBwqICSeAI7wSV1DAKWixSiAHXQYyzEVp+IMowKY2gTc1xdpo9ElohgWLKAstYfSh3oxXd5RIIArV7L54gPbyu0cACZUBRMwEJ0chLo4+fsUJ7/0ueB7YM41+ADWqgAmRavqCSCNKIASievsDI5LrQAGBJCd79K/lLHRRsAvf4lkBfDTn5Z+Cgjgiy9I2wMTsCYKWFQAzT6ArLxrz9CbZMtDYX81QRcEUixGCWAR7agQOV9TkL6pGK3XJBPweWeX8e9/QyDv4bMLCFahENaNyQQsEcCoAii8mwbImgggSVYAg3vI54WlN6IEUBpbbr0VU847GQBQifEBVMnYUFWZNyZOjBLAoZB8GwlgblL0TQ0pfADB3AnEOikNyWMpHzKmVRmtkRTAVavwnTOnYAO8ht/8hvmmjgZGcyWQIwB8EMCnAfQDuIMQMrdZFxvJswYm5r/L5NjtS2OXEtWpKoCFAtvGE2cef3w4GPViOm5a91i2+CTvCDoVxaAAlgt6BRAA1sNbdgQwpQ9gnAKoIw9B3rru7qCTT0I/ztv//iDq7i7fWeD884HHHgM2xYuS3yAFYZ1eQUAAH39c2k5yuWCA2PNjBXROCCdMVSGj2Zy1AigcFp3AeD1amoADBfAXvwA+9Slg551DE3DGjgB+BPcjXxwAnnnGnAhaUADlKGBzEAitygUPCIuGAErV4N/w09g63JaRh4wz8ENjGpgRL4dv4peobrSJdIzRBKxT/3hicwUZeFi4ULhodzeeW3dvnI7T5R2FIBC+wts7b8km4H33Beb2xJuAxXWqn3u6GqyH/frU7dC+jk86LRXAwUETAaQQo411JAIAsP32wDXXBJN68FIGwS0iTgG0JIDGIJAcJyXs2HnzoCeAog+ggoDsKhaSwATMCYGYy2Uk2QTcMYFd79OHyQpgYAJeJVt4tGUTnjXvHkNDdgogv54UIONjCJ3skfmFnTLZw4wpYf3nUWY+i/5Fq4IJONwpH76krFyZSACD4AxxNRBE26iRAGbifQBLJU0KGEBSHLUm4J/8JPhYzrRFfAAP309PAEtEIIATJ0q+1hxi3Zt8AIdy3VoCaFIAdSbgbLkoB/EM6RXAKVU2rs3cagb+fLHcH/bDzZHzthKpCCAhZCs/NUsvIaTi/7+aELJV2gtTSl+glD5CKb0SwO4AJgD4nv/zCuiVPpMyyBVK7R8AeB1sQBH9Zdoy/tugxmGXv3mpPoBApC9JKQn+sNWFkKMBNDD4AJayegWQozqSQAANeQBNCmAJhZAMaNLA6CJIJ/E3oY4O6e38y7u/rnID5P2ANWkZPLBJia8mIO2v+uWJ9+VPCAcdlsdOu4RkRyUdXsaOAHbmyuFhnheJ8gxgGQUcKIDHHQdceaU0MHECmOQDGORmHBoyJ4LOZsWPATxDGphKRQiY8GFNAP06kXJYqg8Z8WlgLsQ3UfrrVfIBJgLo+/+NTAtdKYiBAAa+U/yihx6K8/f4d6wCyCGqLnlSwS23ANnBeBOwuExhZbgcnGP9ey7BnPXlWVidV6pVSASwv18hgIQE0fiiT5hRAbzzTpZlwG/b6wjxd8FLkckHMCUBjKiHwg3yOjBNspICqCBQAJUxKTABc5IjRIXzZR7jTMAdXex7e15+Frx41X42ZpncbYAw/RQQdo/BQYMPIJHf1AKX46JcH2XkUEZBUgDXnlHFlIkyAdxkE5jVW34B/qa9ZImeAApBZoFvXgIBzA0n+wBuvkl0cJYUQB0BFKKOpUe9wQbBx2o2qgBuPldPACXLEe+rSgfnK4wE1/Qf/pBA+tMQwEpFrwDmSoN2BLDCxrVv/3Q6Dj1cJqvSXAUgutZGc2FNAAkh7wcz2+4K4J8AzvX/7waWwkWXPMsKlNKVAF4FsJG/aR6YH6CKzQE8X9M1OlkDE9+W20iYpDJAJYYAVioApUYCWEFO62AbgYEAjiQQQFpO8ApPmQdwCJ1ylnedj5zJf6xDeYN+/nktAWxrU1ZBga9KkGhFRdLAcAgmYHF1AZMJ2EgAhUmKk/9qFYKKp/OOTvABNJmAgdQm4ACDg6l9AMU6EV+Ky2WgUpIHbjENj40CKK0WoZnQTWlgRnwfwCxRKs5fkzTiA+grgP0T1g73TSCAQZ/IZjEyovcBVM1d4qAdEBFeCIMCmBMSlosEUFrtwkYBzGajBBCQAps4pLV2RSiO9iIBDF6KLH0AazIB6whgkglYgYkABomg+XMQnIlJjAk4uIzij6D2I28VIxamgDtAJoD8sQ0OpvMBVMk7J5wiAdSNueutB+nZRdpzoQBM919yenuRIawfSGOTYskBIEUOA3LzJjC/ABMhCrhnYrStGBVAPj8MD+tNwLNnh7eEkQgBzBT1PoAjWWHeMRBAkXyLBHCFoCkNNcAEnB+RCWBpWE8Ae3wFEDNmRMqqpmhq1QogHGkUwLPAAjPmUkqPpJR+n1J6JID1/e1n1VoIQshaYDn/XvM3/QPABwkhGwj7zAXwIf+39NfoYh1e9Jdpy2gIoODUD/jPS3SaKJcjBFAcjKwIIJ8plZZWypnfSgEkm4BFBVAggCYz5yC6QrKkmIBNCmAAJRwf8+ZFxvpCgZ1WSwDjTMAqcqECGNjgoZiATQRQTAMj3D9X5UQCqPULsvQBHEEhau1KaQIOMDiIfE5J/ZPCB1A1AavBBJICqAZRJBFAIDKpm1wNSp5vKiRCGxJmg4gPoK8ALskKwVQJBLDKU5HkckYCGKcA5ih7qQsKYfABFJecqhbL4UAtkhxLH8C+PiUNDPQE0KgA2hBASx/Aznx6EzDJs21WBNAQyhzcp/J7oADyyV1QADPlZB9A1R9BNT9yAhirAFble/E8MwEM6la5nvrshtAZumiLBFC4/6BdVsN705qA29pY/VQqyA2sFA9hEAmgl6wATo5bxVVQACdPiD5LyTdSPKlAALUmYOHLnPJrERMwX2JUbT5Sovd2uQ8F+6gE0L/nlZgcbB/Om4NA1CnP6ANYGpII29CAPg1MT8UngNOnJxJA1VrWbKQhgB8EcBalVNKK/e/nANjR5iSEkBsIIT8ghHyCELIrIeSrAO4FSwHzc3+3PwJ4A8BN/n77A7gJwAKwiOHUIBNYhxcJYCeGcQ92xvpnfincT2cCBqSRhPel6nMv4FVsiM3wIgDBgTkJBgWwnK/TBCwqgBYm4EF0xSqAsRGkqgI4b17wNhqcI0ex6Un74fdKhiAPGVQNCmCQ3kOA6AMoTrhWCqAhDUx7Njp5aQmgzgT8/e8D227LRj/VBCzC7+wSAbRJ+uR5+Omls/EJ3GidBob7ANoQwEB90iiAm2wiKHL+DUeWC9MQwMvwWRzwu72CBecBZvYiRIluFSYikw/gm2VBATQszcYJRHWEXeuZ53O45hrNM7z8cnTef5u0KbKCR0dHSDQMJmBxnWqvJCiAop9bXBoYQcG1VQCrJUM74dfzx6Q2gZi8io0w/frfg1aSfQDbUMKEjhoIYJusAJoc7ZHLRVYACW4hRgE0mYCvuaKEv/+dXcrkA2h6FiMjAH7wA+x4wocAxBPAwx79Dk72A9YA4C8938ERv95BCiAE/IA0gwlYNEPy6wUCWQwBVM33WgUQCFTA3Ipe8XaFm2Xg69bGEcDp6IURggI4qSss69U4FP/AfigVabwPoGACNq34M62yKKoA+gRQJWPatGrKpFu1UACH83oTcEQBvPlm/PCvG2AX3BPZd+KNl+GcwGsNGBr0Qpf/v/8d2+0+CcNox6yRt9i2GTOYmCSMn6oJuA36HLHNQhoCmGSctjVePwzgAAB/BXALgOPBCOA2lNKXAYBSOghmWn4ZwGUArgDwOliksCFjZTzKU1iE7nQhaeoGw89hZ9yHWf/6S7ijYgIOCLvQinlfmnLK17Ah5oeH6kzAF14YKUug5Kkm4Hy8AoiqhQlYowCagkD6MElWAC2igAO0twOnnx76o6xYEcmg30WGMP3hf0YOLbQRrLWO3gfQqxgiTz/6UXatbbaJNwETOxNwgURNwNoVE3QE8Oyz2dql//qXlQk4L/oAJql/PiYNvosbcWC4SkYdaWB0CuBwfqLvICiPsKUS8Pe/85P65iV1mFDeYrNZ4LO4Auu/fDtbzNK/x6A/bLstsOmmLBJUcA6PmID9m11SFtx/ExRAvprAbfew5xz1qQE6Hrhd+h4hgFzK32WXcKJUJpW8sGRhpViRTcDKcgxJQSA6AsgD0qQ1QjUm4PmbCGtxafKYzcIibHL+1+BVQxLxIjbFAqwDmskAe+wRJILeaHo/Nt3IPKaU0Kb1AeTJ7QMSJrxEjYg+Wvl8IgFUJ/SIAiiMP20o4fDDE0zACgGU1Cch8CCOAALAmTg1+Pzl/vOxwdLH0KWku5o0ieBLX5UHWS5klYfk+1qMtfQEUOd2w03ANKNXAIFg3M0uWyLeLoNEAKNpYMTTAMBEGPz/AEkBDAkgxaG4Fvvhn8DAgN4HMEkBFPKeXLjeeVECOMjajfquLC39xtmWMh6JSq045orPvJxrD/xvRXAfwIDI7b8/pq96Xbs6R/dFitHT80Je+69/ITfYj3YIYwu/R6G86pwzlgngIwBOJoRII7K/NNt3wYhdIiil51BKt6OUTqaUdlJK30Mp/Sql9A1lv7copQdTSrsppRMppQeo+6TBqnWj6QM7PKFD+z2IKCbgYGARZlQ+R2DE4L8i4thjWV4UAYN9egWwUohXAONydrEdsqkUwF5MlxVAizyAATo6gNNOY8mg/Qmlk8im3q6sXs4+6isZtHfrTcA6lZPksiyyetEitkqDYJZVyW3VMghE8gEMFKuUPoCUmvMAAqEJmAgKIK9jg2+UiiAwNsEE7ClpYMRnrxLAKrJYNMWcTjNo3yYTsDLg5jPCM1u5MrjHEtpYOQoFthzWFVdISkTEBOzf4xAV1GW+XpyCQAEclKM6JbXyl79k+5bkdqn1s3nwwTB8HYj6AAoKYLVo8AG0TATd1ycQQN5G2sM2zaESwBvxCVz3pX+HG3TLTPqg5VAB7MckrIc3cfctw8A3vhGQh4tO70VXwUwAq8jK9emTiEzBHARStiSAwX1qgkAkH0ABfHKMNQErg54pB12cD6AtVqwANniPbALmxR7uk1/05mELKwVQHHONQSBAoABmlycogDx4SVEAxeYdO68IUcDdnZXI/nTVgN4EnBQE4jOlI3Apnu3ZKUIAsYoNCp4naxCZquYFWhmPRBIljrkimeZrp0eCveABoEbdIw4ZeGH8jXB/u//fsDy2rKYE8GSwwIw3CSGXEkLOIYT8FcxUuyWAU5pQvoYhs9b00HnWR3clNC8EUosuCASQcgHytu158luBMQhE2di/In0aGMCCACoKoOgOQ2n0ekswI1YB9DzoFTkgfMMjJPis+i90ZvQEkGQzWvm9gJHAdCWBj1b8bS3GBFxVFUDDUnCN9gGMVwCr4a68DAZioyJYGENQAHUmYL4SSBbVSB5ANQrYQwZLpm0hbasKQ0FQNJ0JmNIIeW2jwnPu7ZUG3OAx82cXZwL2b2zY00T6KQiCQIbkvJ0S/EklMyK3w4gCCDCTo6gGqGlgBAXAKxl8AP36SvIB1CmAulyAKgEsI49sTihjwNSj4P2I9wWKDPJdsvmQ9C7RrnsbnANE9nvz6ydTkH0Ay2WE/UB00s/njRluTQpgxAQsgE+ONZuABSQpgAALjoj9nSBCOAMC2C/f1zxsET4usb3EmIAryMJDFlRsl4oJOEkBzFqYgOMCD4igAHICKPaf7GBfchCI78+sW3FrCJ3skSk+gKSvL+rDDiBbEQgSrxelw4ltVhxzgz6HMGuCzmdLFwhiA4kA+h9WYSIquXZ5bFkdCSCl9FEwP8C7AOwFZrrdG8DdAD5IKX2sKSVsELq7AWwhT3qTRkJzMJ+FSJIJWFAAqUIAtQqgeKyPVSv81qU6QLfFv5UmRggpPoDK13gFUAkC6fB95FTyEEAMAvE/t1N5sFe/S+XUqBd5lOGNRO+R5BSzXqwJWFEtxAFaGEm4AliTD2BQMGJFACUfQF7HnXYKhLUCSORcXXEmYA8Z9M6Q+0IWXjDhBdVkaQKWnrNAAEtoi/J8DQEMTMB+XQ6JBDAmDyAA0CF27bbJGgXQn4QyRbkdagmgGtQUE81FR9L5AHoewnadhgAqfSHSxmIUQG4CFp9dsDt32+jtjR1TPGQigQ9A1AdQMgHnBAIY4xDNlkHzQJROFTEBC+AvmDWbgAWwALj46S82OIJDSdjJi11cFSWAqRVAyspH88JzVkzAmaUJJmCLIJBYYYGEK4FMaGdllaLoB/r1JuBsll2EUnTmhRcFDl8hG0YHq0LVp7y/P2rBQnoTsFEB5MdYpoKxgY4AltAWnReEiGuimJbHLAEEAErpM5TSQyila1FK8/7/T1JKn21WARuFSZMQIYATdQSwbG8CVgmBrQIYEEBlVPIK5uSkAHA9Dor9XY0CxuAgLqefwT74F6p33g0ceaS0u7Q0zaWXAqeEIm57zn/D5ilEVLVB7LCCArgpXsDVOBSb4KUgb1cElBoVQG2ks4EABlHAN9/Mki8DoVO2sq+0QjhCH8Cuv1yIl/f6BoBkH8DTTweefjr86YorYGUC/vzTx+M9eFEmgG1tKGsCYby8PKnrFEA9AQxJMaAogIpZ3UMGy2bKfQEIJ/SgqixNwJICuGSJXgEMdg7TUZhMwMOe0NYSTMCerwB29mgUQJ/UERsFUJ2AYshLtWTwATz4YODJJ5HPA8fj5/gp2Eo2G+A1ZA47NDivLgpYRwCp4mJSQc6aAC5aKBMkaXduCVmyBMQzz3QURDshZdo0PoD+M+9dpZiADcjA05LPSBoYAaICqBLAQGAxmYBL8mA9hE6tv6iI2OAIDuV6vE2XVlmYgJcvl8iAzgQMhIm3pRviKu7SXhyAG/BXegRbW1dRFbOqCdjv3LYKoOgD2FmIKoDfumt/HM5XcFXbo9//ujLsBUznA1hEO6sOtb8pBPD445k7fdbCBGzyAUw0AfuNqB4FcOFC4LDDgJVLYgigwNZV8j2mCCAhJEMI2Y8QsmXMPlsRQvZrfNEai+5uADvtJG2THDt9GUKNAg7almACrlcBHOjTm4BpoS124tkGTxt/AxBRAHHBBTic/g3/wsdQ2Hu3yO69mI7Zc/37evRR6TeukAUmYJUAahTADgzjDnwUh+JaXI+DQIoGBbBYTEUAiVonggl4aAjA/vsD81kwTlUlcQkEcNqPv4lN5t8KgL2N/qnnRLbDySdHrgXITeja60mQdb6MvDENDABcg0PZSyEngPm8lAz7RbwHKzAZA+/ZTjrFwBLfT1UwIepWAqkqCmCcD+BFOAbbf95MAAOrnUAAl/VsyLbtsou1AjiCQrQ5C0pEVxcbcwcHZV9Mnj4GgJEABgMnn0gII3BvYj22XXBNUBVA7YSXggBmaRl50QTM64NSYLvtkM8DP8cJ+D7OxhQsw2U4Qjpvfz/wOtZnQRnrr8+2W5qApcnEYB4HgKuvCoNAOCIEsLcXxDOrP0/jvZhQiE642RgFUFphI4YAqsugcUQSQQsQfQBFE7DUHIUlyIDQz19dr3wQXdEXGwUzsCT2dwByjliEj6Q0YBEEop5Kyb1aoT4BFF8K+UmmTAEAkL6VuAEH4QhcDvrnv0Rs3c8f6L/U16EAcgLI3QXE5za5uBjfwK8ROSkQ9KkpHaz/ScudDYe+u9ksgJkz5WP7+5HLsvn1nXfYAks/+hGQFXxx8Z3vsP9JJmB/7B9BAY+Dja9Prf2xaJn9eSyHijpdWCEDD0cfDVx9NfD8UzEEUJj31bofa2lgPgvgSkCJf5exCsCVhJDDG1aqJqC7G8Chh2IrPIPvQrNSh2ICtlEAqa0CqDRQUxAIaSvETjyJUBVA3dJaAn528Qwc8Hn9JMKTFwfqkfp2p1MA6TDWwdsAgHWxIJ4AatQLMwE0m4DVW4wogPwBKj2aE1wRvZiOC2adA7z2GvD1r0vX4hNzoFb5oBYmYIDVx9AQQiKXz6MimJw/jAewGV5Aeao8EJKlvWw+SFgJRF2wXWcCfqFjW4y8OB/nvflJbLHn7AiBMBFACoLfHv0csHAhsOGGUR9AT3jOSQqgEI2YyYQW3lWrEPSHUlV4hlOnQofJfkQi5aYkf5H4y2+cCCxezF7ouALYYBMwz2tJObuICYqhIFLyeU4A38RcPPL3N4BLLmHblRcNIKoARl4yNt3UWEZ+niQTcEbJLHD12fNx3V8HMAvvYNMPT8eB++oIoNkHsF4CGPgApggC0ZLiIHye3beawkXKgWpAKgVQMQFzAjiwwdbowXIAJOxXMQRQzL3KTcBSPfLPmsgKb2Vf0PcG0IXDtn8N2152PPtRiQIWp5lYH8BsqADydq3tP4BRAdx0Luujz4tLOBRD393ABLxkCQsi6+gAPA/dWfbM+IJTAwOhAnjPD/4DfPaz7IckE7B/gkF04UN4EOvirTAITqwIf2LPoio2H2tk4OGll/xb94mclgAKpkO17seUAghGAC+mlL5u2sGPzP0zgM83sFwNR3c3AELwHLbCk9g2ukNAAMO8bkCSCTgaBGKjAA72+4O8qjMX6iSAYhCI5+nXIRaw1pbTkZ2sJ4Dtqg+ghQIovr0U0W42AQ8PayeHPMraIBATAczAixDACsnJfmAGBTBPKsgob19LMIM52W+wQSTgJGNyCC8lm4AB5gwsEcBcDlUS3tcyTMVizATtkJ3Tp9ElbDGEJBNwJkwDA8jzA1dxvUwOhfesjzlzwO5PcYngA2dQVaIPYHt7mL1fHXA9iyAQDkWJ4EJPX19YNxIBnDYNOgRJabkzuR85vN56YARn4sTgxURth1YEMKYfdnI1ie+jPPj8SEg2CKgccJDNBj6PbRutG06aOhOwsvJP5CVDeX5SGfha1ylNwL0T1kcp14VFmIV11pFXQAluod0cBSwF4yT4AOqIRzCGJgSBJBJAYY3hfF54Zj5sCKCVAmgwAZeH/NQjPbOx0s8/9+qr/jFJCqDfwbkCaEsAKTKS/+3aH94AJBMNvlJPGWsCTlAAJRhEgk3XY3103jzhN1UBBFi7nDQpqMTJmX5xV5RKIQEcmiO8/CQRwCH27AfRhRG0YSHW1SdhyIVWFGWJaitkEKaB4W01MHEbMKZNwAC2BXB7wj4AcCeA7esvTvMgjieR3EoAI4DVauCUHEkvYGkCtvEBHOo3KIDt8SbgRChLwSVixgyjGSlQAE0E0KAAchTRHkm/EcBAAE1RwBECKKglS5Qx2tYEnCflyKTQi+nR6k8ggFylSVIABzCBvYjyZ57LKQSdDdS0Qw4OmY5edo8JQSCqCVinAFK1gAqBkBRASoPyURD53lQfQFUB9CcZGwIoRQL791isJCuAfHURohBA6fnxNmqjACr5wOL6YaAAct8s1ST++gvB5yyqGIBgxvYVQEDhOIrSDERNwBEfwBgCOAEs/YqoAAZdmJPqZcuQLcsTTrEI2cWgZCaAujyAtgpgBp7RBJzJ+IVVjrdSACOOpXoF0NYHMCkS2GQCLg/6liRqziwQOZXBBAydCVhRHgH/WZsCsAwEMJOxTwPDCaCRMBpMwBuvy8ZeiQAKQSCR6vArkRNAcejO+QQw26EEnAiI+AAKCmDkEE3kfw6VsPmo40IMxL7L26pWARQw1gngRAArLM6zwt93zELkOWI4eIC+vtAEhQL4hKxTALlYoDMB2yiAw6tiTMBWa8kZIJqAbRIZ8TcuDYI8edwka2MCVhTAF56KUQANJmBtHsC8ntTlUBWXCgWgCeSI8QFUJ4UlmBEdjDSmORHcBKxVAIWTrcJENg4JJmCiNiAAXqesAM7AEpx2WpjWw7gSCOFElUZyQAYkntgRwGIREXIq1Ytyo5ICeP/9wH//CyDZBxD33ovDixcDYP49fct8AlgV5Qk9EeOR1fDVPR45LJUzMAEXhXGc4iT8THtOCRYEUJpFxcs+GyZEyMCTFUCBAErvXroXDTVNlPqSwf0HNTgSlwAwKID5PNDTA3geNpp3k3Tc8DDk9qVJXJ7rYPc9BctxIn6GaUNvNdQETAjYxKu8nIpRwEYfwEhuIVYMKxOwUt4ZWJKceYG3k/nzgfvuC1xWK0VOADVig4ERGE3AhRgFULAiiQQw0vd4v+vtBX72M8yqLADAmoFtGpjg5TKlCXjW5GFMmMDeDQM/QCEIJNLV/GfYk2EynEQA/YTsmXbhWqpLikCidnrlz8C/We5MsR8Gh2jSs2RRDZtPCkEmAw/tGMYJOBcb+ava2hLAiejHSTgHG+FV885NQBIBXApwr+pYzPH3HbPg48Iuu8QogJp0IBEFUDQBKxZWioyVD2BxUB8EkmlvgAlYVAATTMDo6EhUAL0UJmBRCSqiPUjSG4GqAPqjprUC6D+UiV1RAmUkgEpC2gKiBFCrAEaUGaVOhaXgIi+LiglYIoC5nJYAqvU8Fctw7bXA8t54BZBStvQaAKBalRXAskEB3F4W7fmbc6AAAvB80ihNsuobd1V5zosWAbBQAHfZBae89kVsjJdx3XXAfXf5BFQ0Aa+1FnTgagT37xv0YhTA4eGgyO/HY3g/HteeU76Ambxw5ZjwfVQfwOfDYK0sqtLEQ7O5wLyURACphgDGEXEdtD6AAHNz0KBYVAjgXv7KI1tvHeyTa2eV/AE8ip/hu7jizQ+B+q4QEQLI3QYUxAWBBDAQQCsTsEIAdSbgq/FJ+eIf/aj0dQqWG8mOt8VW7IPY4HbeGdks8z4I3CmEgKbAZdPw3AoYkU3AnsYEzB+izgcwkzW7X/B+d+utwHe/i58+tgcA5jIRpwASQQHMoYKOjvQmYFIcxiabsE2vveb/pjMBc/iixCQim4CBMK2NRACVeY7X/eaYh2P/92XgmWcAyMm/k0zAQfNJIchk4OEHOAPn4qRgWxIB5KT6pzgZ5+B7ONvPHNAqJI0gD8DOt+8L/r5jErMFf/cbbgB+eq49AYwogAYTMJ98bRTAYIRVfAAbQgAtfADvbtsbeOIJ9sVEALkCyBW5GkzAxogmlQD6kQDWPoD+Q+nuiu5bgcEHUDGJ50kllQLIJ2Zxgs7AC0zAFR0BFJ7vCArMFUUwAas5oAAgo0Rl8sGsXIz3AQQEtUchgB5/hupI9KEPAddfH7SBnXcUFEAeAOITQGlsVwlPVf+cY/MACq/1U8BkXFHVeW/mWeDuu4FZs7Tn5gQwU5KDQKTuI6xGwIs8FULy9zjY+AByZVqp18yy0DFVJYDFKnt+kyYpdapTADVBIJHJ5NVXcfaHbsaz0Cdq0CqAgJ/DKIpKRSGA3/kOC2sUVjLIdsgPdVZlIbwROXiO7ZgFHn9cSwLj0sAEUFaH4EuWWZmABScukwn4O/g5cNVVwAsvANddBxxxhLRPDpVIGZ/G1jgE18C7068PDUHo7g5JUslXs7fZBvjPf/wdDGZFkw8gadPkAUzwATQSQB+z+l/GtdcCe+4ZrwBSRQF8+WXggp+lUwBRLAaPMuj2QhCIyQQcJYA0WPeauyEAiFi7+Jg5TdGkEk3AggIYNJ+UBHBHPCRts1UAd+/4r/V1GokkAngBgN0JIb8ghERYEyEkTwi5AGzd3l80vniNwcyZ4XOcPBnYe38NAezrgy5fUHwUcDiB84HLxgcwmMGVN/xsez6Vz0EE4lJwMT6Aj3TuytZnBSxMwH7nMnVu4bOYD66EttBUpkI1AfujgykKmK88EMDvqCYCqNtXRV5jArbxAZSSoKIaPMNqVtOmVoTeE20oRRTADNWQXWXbhrN9c0Y5PE5nAgaEe69U9CuBqCMRIcCBBwamxP33EXwAlRyAUhNWTcC+Avjy9P+Tttv4AALhCxev2zLyeKVtSybXGxAogKV0CiAnb9fjQIzoEn9zpDEBK20ssyIkmRl4kg/gUImdV1mUyCoIJOIDCAAbboiXNv64MaUJyYbbpWfxnvdo1dUIAczngUMPlXwxiW6QK8nBc2xHwgbfww6L7G6lACoEcBLYrKyagG0UQJ0JuIgO4JOfZNLcQQdFxmldoMoQOnEdDkFupu9HqbaT4WF0dwtqusfGhS9+EVh77cjtSoj4AHrsxqT6josCJhYKoICDD/azGMUpgERWANdZB9j1IwbCqM5dQv/jlx8ZQdDIPJLRp8/yn2E3ZAIYPvMscm1iBJyeAKquXloTsAidApjSBKy2F1sC2D3NvKpPMxF7d5TShwgh3wHwcwCfIYTcDuBN/+f1AHwUwFQA36GUWq0FPCagS6BagwlYJICVWhRAlQAWsslm2zioCqABwTI4gFEB5BOsMQ+gRgFUTcBGAqjmAazRBDxBZwKmWdmzJ8bfRjULLcEMrG8ggLyjtmUq4HN0DpVgwBVz+gUQHBQ7MBzxAdQFlmSUqMwCYeenCUEggKCeCARQ9AGkGYPTu9+2O7KCCZi3H39Qj1MAOQEcyPdI20dQQKdaLUo6Cr4fIESVKumUBsgETKCyCT/nt8/siE8AqzEK4PAwcl0UAAmIwCC6UDCZsoDYFzHeroOJWWljZHlIANtzVQxVQtPTUJHtayKA0mSsLl8B/ftMZyei/mw+qBBpHrklNfIZGgKoQUWTwDxUwjUHGZbbMvkABlBWy+GEQDUB1+oDGIEyTusUwIj7kHpvvb3o7p4T+tNW2DkN79ny5RUfQK0CGBcEQokUgKXtCwqy2eQ0MGqKKV27BAC89Zb8PQjCKooxlIH6Vy10ACUSbR7cBAzZB5ATu8i9GQigamHRmoA1QSD1+ACqZNrWBOzlR4cAJjqRUEovALArgMcAHAjg+/7fgQAeB7ArpfSXTSxj45GCAEYUwNtuC7iQmCsoiJSy8AGEp1cA8wVSPwG08AH0skIhE0zAgSInEECaycj3xAmgoACmMgH7BDCPMjwdAczrTcATO6L7lk0mYA7/fk0+gJEJVvEB5CukAH7n9Z+hblIUFcAODGPCsjeBRx4BAHhZOxMwN3nAr5eVA2YTcDD53n47cqSKTfASlj/wPN592xAEwuE/C576RwwC0SqAyoVzvgl4IBclgMYgkMGw7vnzElUdmQBG48t4Ima+EshAVaMA8iTNnhf4tPJnLk4GsXkaNAhNwHoFEMtCAthRqErPudjHystT8all2AEsIfuHcT+6Vi2SdolEY/vo6jITQM/0zIFo8mvIq5OlIoBcCdeVQ3OiuCjgAIoCyAggrckErL7sSb6KhnLqSGoiAXzrLexauSNsZ2VWVzE5uwNETMC8LuOCQAQHuXffoXjzFXsFEEgmgFAUQABmAvjKK/J34QVMys/tl7mS0wRuAUFlTaSMhb18yyvYEs+mJoBqRK3WBCwiGxLdoPnYZNPghyuKcTWbB0XGKg3MaBFAK3pLKb0PwH2EkAwAnphrGaUaG9bqAB0BNJiAg4fHB6O//AVzTvg6gO0xPBQ1AdsogEHyVSXCjnTZrQ8bCwsFUFpaqEvzJowwyjJQACWTb4f85mQIAokogOuuCyxYAGy1lfwMBAUQWgKoN+tO0BDACs3Jwr/a+2bPBvr7kcdIhAD2ozs6JyqmufZcBZyTZVENlg6sZDRtau7c4GM7irj28bng8QceyWkVwMoc2Tk/71+sb1kFswAcd0IWPEhWbWvB5HvYYdj4S+fiJZwILAU+fvHN+BQAZA1kwH8WnACKCiD3AYwzAecr7Dmv0iiARhOwQI6D1UsEAig2j0fbPoL9h6+WTpMLfAB99VFHAAFGcgYG0JUZRi/ykgIYniyd321SHkCRAHZP8JAbCieF8kp2rEkBvAyfQwYe/oovRLyq4wigyQRc6MjCKHRqCKCoAJomru4pmvryTcBpFEBTHsAAythUQBntKKJc7pDUYrlwdgqgLQFMVADVueQTn8BZy5djlW/2H6wUpGLFQTUBe35QYawJWAhu+92vy3geI7gD9gQwl0swAQuJoLNUTwCfxZbYCs8BG28sH5ykAObZ75F2Nnky+0eZBeXXt7MIkrlg6YgjvsU1EECtAshfhFEMm4/kqpILVwDSQDUBe/k2oBofqxXUfT2+/3UgOYxMAKXUo5Qu8f9WT/IH6DvD4GC8AvjtbwfbZr/N3tLFN/tYBVDZSDgB9E2E92xxDL6O38CbMi21AjgMRdq3UQBFAmgwdfGl0gL/MdEZf0TJVWQwAUcUwPvuA046ia1+kI+SUJMJOGMwAXe0RwlUmSb4APr+bp3egDQpfBpX4AtfIOJyyP7FZQLIlSSAERa+cozWBPyDHwT+T2pS2Womr1UAV33uGOD73w/WbeYKIE8eXkEuGH+NCiCAdf5zSfCZP4dsLkEBzAiJoIVVQICEIJAKO/+qrAUB5GY9wTzOB0HRB1A87pSe3+IJJXk725eiw7+3gYrGBAyE65Fm/TWDESaFDRCzpq4OST6AomowY2pVmmCr/azNRRRAYZb4Ev5svHZaBbBnagYXXghcc43mR+GlbuFme2BLPGtlAt56O7MCWNb5VdZqAta8nHajHyMlGgQOrUAPFi8Wd4gSQDEI5K2uzXA0LsImO04LgzIM5dQRwMj95XLAH/4Qfvfb9UQ/D+PQiMEEfNVVwK9/zfIfnXgiAE0aGJ5XtqAxAWsIYB5lKf+c1Pc69eKCqABejUNxfv4k4Oc/D3cQooCDdiwEt+2Pm7A3bkXfUScAv/+9fHKNAjgyglABzBv6rB+hPmf4JSlZPx9DkxRAXgfq/COq/tqXG39u2BivBM2HCiINKegmd+BdsNWbVBNwNcd4ho0JuFCWXVzwgQ+YD2ogUhHANQa6AX9oKCCA2iCQzTYDzjsPADBt8bzI4WkUwMAE7Gcxvm3jY/E7fD3tPAQAKBGFANrkAcwmv23kuQLom4BpNoclYLIFUVcw8Tt6ZyUcdD1kogrg3LnAOecwx3CDAqgNAjGYgNvz0X1HkgjgRhsBALqq/QEZuBDH4o0dP42LL45kRon6AAoEMItqQAAlszrHpEnABRcAAKYo6TQrBgUQbW3AT3/KInQB5CkbgLhPpjhBqgOLSABzxXBA4QNiNh9PALnZX0oDY2MCLvt+eJkJUgfQEkA+qQsLgwarl5h8AAtTcALOk6+JijDZFTAwxMqpVQABdBJWRq0JOGXuzYgJOGaEL2RlAugNsOtHFEBBadC9GHCk9QEsoIxjjwUOOUTzo6AAPnHYuZiHLa0IoHYiLBsUOcOJrEzAGtLSjX5kh1ahHSUMohNDqi+fxgQsKoD/nnkkfoujccYZwG67KSfXBIEkmoAB4KijgOOOi24HMDhiMAF/8pPAMccAP/xhkGpHNQEHa8vrFEBepzEEUKp2g6Unmw373ztYGz/uPCcYIwEWWcyfSeCf7D/rm7A/bsb+eAezkfvFucA668gnF4JAdASwnDMogH5+0jmr5gWR30AY1dsIE7C2y/rX3QLzWPOhVLLS5dqi7Xg5enAyfsrOqSqAFgQwmFeKytIjn/mM+aAGYnwSQKFDLYIfCTc4KOV045Aap99AprwbJYBpFMDABOyvY7Y8y2aDWgjgCFHUzLQ+gAZwB3la9c0RJIvXsKF+Z7+jTxwJTV9ZVM1BIIDRB1CrAKoE0H8o7TmND6AtAaz0S+ZAowKv+AAGZhD4CmCcCRjQmtkAtmJJRjPRB+KRr1LzwYz7RgaDcSYq3ookIDsUDpz8OWQL8SbgNhJVAG2igDkBLKFdul+tDyCf1JfJbQUI3Q5UE3A2GzVx5lAN3vCLaA+aukkB7MywfbUm4JQEMFEBFJDPKo7h/rJUEQVQNBujHzrUYgLu8WLS3ggKII+0r1SUlUB00NUXD4ay9AGsRwFs62fjZi9UFo3EPIAD1Lc26LprLSZgjgijZ1hVsjAB+/VpMgHH5gEUfABzqEhr0NoogLlcqEIFiqPQyCpeqACqwYt8nuzsNPDLBBNwxUQAN9wQaGvDOt4CrIOFwWaRAEr3pvjp1WwCFghgfz87LxHnUE2778Jg0PdUAmijAAZj37DS5w0m+0ZjfBJA4YksBHtroQODWLQgasaQJtnN2QLSk95mBFBnAtYOmsrGDKpY9k4J6OsDzWbxRh8znbW1IbUJOEIAxcTHyuoXASwmvDypYBJWBopcxcvgdRhWHvAnkokjsqpjDAJRy+DnASxgJJL6AojxASwtiyzVVPZsFcA+OwKomIC7lXvMxCmAgDH6TquUQHCvKfDIWB4EEpIjQN/OxHOKBDAwAScogB2rmCIt+QDCIg+gv/btMDokAqjNA8hnCoHwBGYQojcBZ7NRYpFFJSBioj9XZDLxyzOTvgvAYAJOSQBn4235uJgRPp+RFUAybPABFEzik7FSe65agkAmV2MIoPCseB+zUQC1P6RUACVyJfQRKk5JAqsY8J/XZPShY4C10xV5lUX7xxDCXuh9YiCagJtGACOM3i93ySIIRCCApRIwPBBjAlZ9AMXT1GgC5u0zUN6FTuTRTCIBNHDfRBMwd1/SJt/3s2bvh5uDzdPBiH+tCqDWBBxHANVVcDR13oYRiQCK1/T8rAs2JuB80RHAUcG7YL5tZHgIn/1kGEKvxbrrAhMnoq1/KaahVyKAafIA5lDB1rMZkViRnYbb7xQm2bQEMGPwAbztNuDii7XHSEEgBuz+5p+xEj3Y5IazAQBlmsUz2Fq/M1cASykUQEMeQF3UlckEPPvWP+MiHCP9NFjKafcN4PuXdJb7JXOgDQE8Dafj/uHQRpxHGZlqjA8gABQKoBo/SymSUihjsCsngFQmgJE1qn1QqpiHK6G6wglgrmBQqvz2Oe0HX8f78aiSB5CIu0B38bz/9lpEuzSZpzUB5wQTsNg8ZsyIEpwcDQlg0Z9IxCD4AH55/r54V2yMlxuiAO6Ax/xC+I0mVgGUCWB/dUJwTyaYCCCgn0ziTMAkE5NXVCCAmbYUBDBGAeyHhulo6kcyAZsmO4EALgPLQzg504/OAUYEKj0a5pHJRFRA0QS8yoshgBZ5ALU+joDxgQ5X88jljO+B0nXzKOOll4ATjk/hAyieRiCARbRH+6xYCO7aktUogMLzqlQ1CmAlfFEDYgigKQ+gTwBfXmBQAIFAbDkLJwebjCbgSLCQngCK68RrSdnGG4Pmclgfr6O0cjhKADU3uhw9EgEU1Xvij6HJCiBFfkgxAcc2mMZh3BPAFegJ3kSCTPN+wz72WOXFiZCgo/dghTaKzcYHMItq4NC6cCQcOCKD0sRo+gsVgxllwLVIaZHNKCTz+usjS0NNKK8EALQNMt+1lf0Z/ArfxP3d+wJ/VpzU/Y4+oaRXAJejB28ep+QJb0AeQAD4On4n/dS7MiYNzMSJwDQWxN5R6ZfUoCQCmEUVp+NH0k98gKkgKyXclQtPQDSduSwqJYTgJz8BPvc5lp8XQNAYCpRdgyomYN1jNqmKnCjlEkzAAHA0fpOcBkY1AfsEUFUAYwmgEAW83XvZvXHzuuoD+Ne/AttuH1UAefviCqC26QvlOWb6NQ3xAYwcF6sAyibg49suAhAzaQKYZDABA/p71CmAP8fxuB0fxfXrfTt6AIdoAk6jAGrqi/vCXo+DcAMOwJsnXRT+qDnR1ElVbLN5AgEUBl+RAHYNsrFz6qYzcMghwPnnK8fxBXn9VEOSCdhj57RVAFUz9az1Crj0Us2xO+8M7L57ZPMICpg4MSG/v0AAgdDa4CHDivSZz7ClRPbYA9hxR21Z+fFGBRCQiZL/o2gCDtayF9pzNUYB5NunTDHclx/NixUrZAXQ7/srwX7X9tuvfjWyyUgAv/xlYN992bImCAlgnAVKe81CAZg8mbnmCC5hAPBA50dZUB/HLbcAu+6KvXFrMEZmUVUIYMV8LV4Of57kbmFPYFs8mNsZ2HVX80ENxLgngCsxOZgMenxH/TLy+MIXgAsv1BzgD1ZtKAUNDQjNwbYKIJezRT+WyKAUCVOLol/JvWazPih39g9w4IHAgw/GHtO7NINhdOL3+93C0tqL8CeSCQYFcD/cjBWfP04+JoUPYFZ1vo3pURElRNy3uzsg1Z1lSxNwZC3gEPz+tEt0STtq0m2IvoqZDE45hRGdiALor31JFAVQV16TChQogG2GQgonewUba1cCiTMB54bZi9MwOqQdAyd2ERpT1I9+4A+UVG8C3mAD4KLfymXP0qgJWPsMhZn3Wxesj43Xrl8BjBwXpwAKJmDv71fjiRXsRct/D0kFkwm4s1P2AfwGfoUT8HPshdsx1DHVfEJRASzUSQBHwrWAD8INWP6po8MfNSfaessqfvh9fxwyqR0CYVkOxjImoQ9dw2zsrE6ZjmuukRI0MPA25hNA0QTcX2Xn1HJOCxPw/gcX1BXjGCZNAu68E/jTn6TNZeRN1tcQCgEUcxzm82Bk4KmngDvuCEUBCxNwbN/LhS+SkesJ7blq4QNoNG9zVXTJEpkA+sGPfO7Tdp+ddwa++U1pk9EHsLOTEbIvfxmAWQEUofUBBIJ6qY5UUB1m51mI2Th6w9tllXebbYC77sJj2CHoexMwgJzo7uGTuiQTME94vQTTsT2ewAGT74k3ETQQ454A9mFSMBlw08sICuaHJhBA8e0wWCrMwgdQJIBLoCiAognYIjdQMat431oogDzFi4SEUWrJMnbeLbfU/OhPJGJQQwaepNBEyK3BBJxWAVQRuxRcdze7bns7srQaPIM0PoAiOAGJbS+AdraRTEm6g/36yXETcLV2BZA/h7xJAVwSpqhZhW5p+ThqYQLO+f6Gw7Rd+Y3EqxD8dNwELCiAkfaiXDNLK1IQCGDoLsrqBG3V+n0AI8dZ+gAODGfheUwYqSXgy3Sp9naZ/EvBQHHDgSEIpBYfwKz/EsDdZ6RyavYvZL3Q4dWCAHIFcILXj4k+AaxMMUyS/DhBAVQJoLb+FTKgzVWY1FaU30dQMAXgRo4xEkCL6wBqZLydAiiagHU+gFUargSSmgBymbu3VyaAvfLcZ3JVV2VyPl5ryS0QBrP5dVALASRCMuihFaFLWFsb9ME4CF++VNcNHjWdZALmqqHWfaLJcARQQwC16xNy8KTHCgFMowCKJuCIApiSAIpLPQGwUgDbiaZjJIxSi3vZeX0/WeWE0QFcVACLaI8OuAYTcBofQB1iCSBPEeGPWLPAAgNsfQBVWCuApWh9jygKYASKAohqsg9gEgE0KoAvvxx87Mr5E0jR3gTMJ/8h2hH5LZKNSNPOciTqAxjpRxoCaKUAzp8ffi6V0FZpoAnYwgcwJ5iA+wbYfnHm3ziYFMC2thoJoKAAcpXdZiUQnbMlj5bkpEC6rpYACheyMAFzBXCC14+JRTZ2VqcYKlIhgJICWIkxASvprbSRyknMXfm9jHxqAsjHmrQEMJUJWKMABv1ONAFbKIDGZe54QxcUwFIJEQVQXUAkgKKCGU3AHNxtxkIBNPYLYT3gYn+4MESEAAqfTQSQ+OnebAlgHyzWC2wwxj0BXInJWgJoowDqTMA2PoCH4+84BWcCSDAB2xBAtaA2CqBQbtvjYgmgxsQpEkCtApgmDUzB3gScqAACwYjFCaCNAvhtXBD5yZoAimsG+pCilS0UQO4jEhcFbDIB83LmTQRQyKTLCWBxyJ+EaLIJuLCYpWoYpu2RexGyVDBolOYMja4EEpm8lPO2D6/AnfgoK2ucAijii1/ErGXzAIyOArhyFau3eqw7uqbf1iabgOshgDYrgQAw1hknBUkK4Gfv/hIz2/Eb0EGjAE5EP7qLTAnyploQwKeewo+u3Bib4iUAwMpyjAKoIYARBTCJACr1koYAroe38Dw2C6LMAx9AHTQPJ++vlAIYCKDGBKxNAyMGgXiCD+BllzEztJKRwKgAcj+HZcvQ5qfs0imACxfqDoZRAdT6FgOpCGCSCTiHCob70hHALTFPOpWNCTiLamACdgpgK3HMMSjNWAfX4FCtCdg4+PmD1fqzalcAAWAamL+cyPpjSZIGA+gCzaRTAN/FTDy2wWH6H/fZx3gcVy/WXVfzo4EA8oa9ChPjTcBiEIhGAcyq0atpCKBYH9x/xh+xpvtvlMPoSDXQcogm4NjJUrN2ZqmawwG4AaVcFwvCUeG3s0AB9Go3Ac8BM4Pmpvdof8cllwQfJ+bZBDI0EJMH0HCz87MbR37z096F0MyGfP1jcSWQJBNw9/I3g893YTd2vO72//pXbVkH0YV5x/2Rtb1f/Uq7D044Qb+dI6UPYKwCeNppxnO8jrlYhim4GEdqu/c66wATJ9VnAuZ9zMoEDGjHJhbYRKLXNZ3oppvY/+23R2WDjfGPwsE46SThd6Gt8MmxE0PoGPEjJnmQgQpOdIaGgCOPxIy+V4OflpdifAA335xFYW22GQBgnVn1E8ARFKx9AAFgM7yI4/BLAOw5GrOBEBKp10QfQAsFMJeD9PA+uCPB/Enbhsf985/2JuBcjkWIUIqJZZbmSOcDeM45huOVN6Wp/uovA5hgDuKAGAQSEsDTIfcv4zQpEMDSqpAAtrdDrm+NCViFUQH89a/Dy6ESqNObbtuFzk7g7383lK0JGL8E8Ne/xjP/eBP9mBSYg9IogH+8sKglgDY+gCLElDNpTcCD6ALUxd5jRvyFW+6N2XgbI10GInDLLcB112l/qtCMbsxh0JiAOzCMyehDBVksx5R4ctvZCQ8EWXiBM7mIiA9ggglYigIW3/AUAsgRSwBjrmWtAGowVM7jJhyAM07sD6LXJPgVlvVkBdBkAhZ/U/E+PAUAyG2tk28B7L8/W30EwMQCGzQH+n0fQKpZCk5zs/+HB7GKToj8FiGAmpcF4lWRy4UmMBsTMMdfcCTOx3cAGNrm5z4HfOc7kc2D6MLyg77MVozYbjvtuXHuuXjyooekTcdDWCYrJQFc0R+jAJ5+ejS63se38EtMRy+WYrq2nWWzwB57N8YEbJUI2vCjdglNZd+Kro12diL3yov4+PC1MhkQCAtXebOoIltlbTTXlaAcDg5G3C+W+QRQm589nweefx648UYAwOSuCr7+5ZQ+gHWYgFVUkY0/Vjlu47kxaWAAYxBIXCLoCd0ZPLh8szCl2JIl9iZgIGjsk0r+Mm6CAtiL6TjnHGCXXQzHGnwllpHp+qhqhQB+6gD2MnsU/oAf4XRpV20eQMBIANvaIHcmMVeiQKPeQbhkqpEAHnMMU1MhW8pmbdCBVau0weRNw/glgAhNYql8AH0CmCnLJmDut2GrAHKIg2bkbc+GAKYwAVeybaBxZgVCjG+4VWRRKBjSGWhG07XAzIpLMQ0UmXgCWCgEK2mQksYjWL2nBAVQIoAi+GiqIYDGUzaJAA6X2UOYOCk+NUuORwHXoQDyN2e9/d4HT+WTZxPIqlXsRaRqqQCuQA8qFUQU6YgJOJOJmoGrVeRzNIigszEBczyBkLwZ27WmfQ6hk723JDy4fKdcEMlPh18w5hy5TLg6wPJ+tr/RB5CnL1FQRHuQINnUTom4eoOYENxWAUyTBxDQjmniy6xJAdTmWM3ngUwmWo1COwn8PFFB3ieA2U4LAihN1ARFtKOzM+aRZTLhMdUafADrMAGr8JBJRQALJCEIRHygXhi0GBcEAuL7na69Nvve22uvAAJBY5/gB+6ICuASzIivToOvxLKswYdCWT2p4NeFmCieI60CGJmbhYlQJICiGTcTlwaGB+GICyZ0dKSeR+rF+CaAfgepJQoYxaIc8p3CB1CESAAjCmCiCXhCKhNwJduWfNqYwcjYWTUKIPev4zJ/pAMpyU2rWT96cESTPFqt1DQmYBF8glVeWetVABOjgDUYGknwn+FBIP5kxwcTUxoYNRG0FnEE0H9A3AdwsF/2AUwigP3oRrUaEkaOiAIIRAlgpRL4CLHs+STRBMwxD+E9GZ+hxo7mIWtapU9Crk2+ruSnwyslZt1tawUQMEbilxCW39jOxMjNWhTAhpiAkxVALQE0XUijAOZQQc7zFcAJhuhhMQ2MUAHFTCcAkkzIBAIoLv0IoOkmYBFpFcACSQgCER9KJSQncWlggmOElC7WPoDCcV1DjPR5wyWgvx9VksVKTI5vYwZpkS+dGoGiABa8sC5UWCmAAyPB8XGrdIkEUGzfsVHAQrRxsGBCi5I/i3AEECkVQP6QhEW4gfQ+gBxig8nlkN4EnEIBLPsEMK1pB0gggNls5B4n+H4N3NE3clqDApgpagigek9pooBFGBTAItpr8gHkb261KIDGReI5FBMwockKINGsLczxDmYBPQbTPxAhgEsW+T6AOhOwgQAODwPPvZDgAwhE/QAHBnBJ6XAAwIgfHGNrAq6VAAJ2461KAFdBSM7OC6kED0jHk5AALutLiAI2zPZNI4DCQ+VJwp96KrCA1kUApesKX4wKoA4GAsiTo+cnJCiAQ0PSTfBl4KwJ4FtvYZc/K0n/mhgFrCKRAKb1ARQbj6/iqWlg1ETQAUESInpTmYD947oGmQL4lSdYgueBdmYZihUjDNmzl+cMb1BKGphc1UwAkxTALKp4e36MAihAJIDSS5A/HscRQFUBbDUcAQQiPoBWCqCBAKb1ARQbTGThj1oIYAwTKWcsCGDMYBQ79hlmU64ARvqyqgD6S6lldQpgShOwMek+H02Vim66D+AXvgAAWN45O9jEl6wzDp6cAFZ9H0Av2QdQXHFCxeIJG8UUEEG77siyQfPmf9ingQGYGr14MdC7XC7YMcdorqXOamedhU+UrwUQEtxIW9NccwUmY6kQRW9LAN/EHAB2422+Qz6pVgGMI4BCGphVg6xujDzcggAaV5QQU3fYEkChwnT7NcMErJuMjSxAaAQ1EcDBQS0BTFTk4iqtGXkAtWsYsr4XW1blWolpYDQKYC4nB4EUCoiYgAGEEb1LlwYrZFiZgKey6O32oeVYC4uw+0IWlLVw8la6W4igr2duZNuKnJ0CSEYsCCDPIn7UUey/oABedZmSB3DOHO1lpQj8TB7nTvoJAOA03+9QOzcIRDNQAB0BbC1UBbBbWAouyQdQTe0R6wOYEATy0EPAokV2PoDHtYdLnw0g6nQfqwBmLNJl1KIAAsbGO2Pz6VimW49eUQBDE7DGBzCFCbiKbCQuJgAfiZUR2ZhYFIglgHx5qRLa4gngn/4EvPIKHt3oM8GmgaKdCTjnE0DxLd1ULN3ShBxbfzhhWUFOAP0ckfOeDaOACTErOiFIsD/HK69Av2qCOqsJeSD4/dkogIuxVtIuDELHGupeC1vhWQANUAB5o7FUAEc8di7jpGdhAjaiFgVQKIiu/TcjCCSVAkgIIxy9vfjTxeHEzEmOFQEUKoC/6FsrgDqkNAEPoyP5eprjgPQm4JywPGIaE7AYBNLVBb0JuK2Nva1Wq4EPnxUB5En+y4PYgqdJyeVw/k436m4hgr+d/BzWxVtYiPDleWUhXgEMfPNLFibgL3+ZDVS/+11QNsB/0YASBTxxIvDuuyxwTIA45m37wQJ+P/VkbIyX8WP8EIAzAY9ZqASQwyYKWFUAOZKWo1JRRh5rrQWsxeeyBB/Atye8J/g8iC7QFOZRrgA23AcQMBJAOn2Gfq1IEwEs1W8CNlY39wEURlW2DjSpiwAmpoHJZoGNNgLNhxXIFUDj4MmdhL0yACq9pQPafNmxBDA7IUH2CAigP4EUQwJo64/H9+fYyCQ6xsxqfFKxIYDiKjqAnQK4avqGWOWreFYKYLuFCVj3MHiZBAJYrprVWwBWCqARrSaAaUzAtfoAAkxBmjYNa80OJ+ZgZRsTATT4AFoTwLjypDQB86CTRDSEACYogOJDEUzA4tgSIYDiYMrNwO+8E+wP2BHAvEgAjzwymHOTcndmJnZhIdaVXD36CnYKIF9iJFYBJIQNVHyDgQAGj3XmzMgNi2Nerj2PfIHgVWwM/lLsTMBjFCYCaJMHMJUPYAwiOc8SfADFdXGZCdjePGplAjb8GJuTCjC+vQxPMHRWJalmI03AmRQEMDGJcMy1RAJo5QMo3POqYoL/TCYjrRAgvqUDetEpzgScOOsJCc6BUNGmuuXcYm7WlBPLtixpTMBiEnXAjgBWC2E7tXnhVgmgNJlw4mdpAi57+gCeABYE0OCHXrcJuBEEUHKANyiAqUzAmsIUMIKCH5lbmGAgY6IPoJBWimcHaKUJ2FoB1FR2oglYOSbnyWlgYn0A4xRAcT/xMw8E8QkgJ/yG4HUG/wby5aGQAG6xRZAa1TarzkKsExa9YKgUgwLIx3gRSb60KgEUVsuMQBrz8vlIvVubgJ0C2FrUpQCmMQHHQHq7UKEphGiSSusDOEJq9wGsVQEcnmix7EEmEyiAy99pQBSwSQLkI7EuvUSdCqAVASyEdds/bPH27Ff4t/DLiAlYxzniFMDEWcgffOa88h98BpcHLzSezlE7wQSfCAsC2FAFUBhYK/mwndo8M9UHULo/PovZKoBebQqgbgKLoAkKYNqVQGpWAFMQQD5ZllBAod3wAEUTsL8cHBD2j1aagItotyOAGmafVgHM0pQ+gJRiyuO342CwRPQV5NjQmKQAvv46AMOqLyq4AlgarIsAii97xmOUNDBWJmAVfjs7Bhfhw3gAAGuzr75q2B/KmFCIrlKivZZANJ0COEpQg0A4rKKAFQLIJ8zYQVODiAJ4yCHsv2FVjmxbDiN+x7sPO6XyAeQEMLbTxSiAtQSBzHnfVP3+ymujl2Mnf3c+G+CpOPCo92SUQdggdl/nXuzL5pvLP3KbpGQCrp0A8jRA9gQwrMBVQ+yCkcAfzf7n4iSs5a8d3WwFEAAuxxGYizcApDcB34k9AABvF+aarzVzpvGnNCbgWhTASi7dINvWKV9XGux5kmHxYcyeLe0v+QBWExTAjg7tfVoFgdRCAAWn9kb4ANoogPUSQL5qQglt5nsTTcCtJoDK78PosDMBa14iUpuAvQQCuNNO8nfPw6bf2it6PZ0PIACsv750uEj4jfBvIFcaxOZ4nm2rgQDeESz7GOOv7f+QRwUdbV4sAUyKAt4fN+NzuMy/ZrsxWbW6DCPy+cg9JZmAXRDIKIE/KDVR5DBiEjLGmIBzMeIT/vc/4K678KedLpU2RwjgL34BXHkl+wOARx8FttwyLHN7FhvhVVy4y3W4EQek8o8rZi38LhqsAO7wkRhH7fvuAx5/HABQ6GIn553BywiFVCtVye4vooIc/jLlROCqq4B772Ubn32WrWE5d254bR/1mICD4iQFgfggggJYonm0tyfMJ5ofa1YAk2Yhxb7PF15PawL+DY7GsdOvQv7xh83X+sEP2HJIG2wQ+YkPppFLaK558Fem4amnwu82BLCcTWdmKXTEEEBuXhQn70cfZW3Pj/zOkqgJODbp+AMPAD//ObyZ4YoCTTMBz54N3Hkn8MwzY9cHUNlHJIBGGBRA/hzGpAKoIYBpE0FnqJwIOlKtn/40cM014XdlicrAB1CXBgYATj1V2v+UH+bw7LMx5QPCIJCFr2EKVmBlpgeYOdMu1yTC6r4Lu+MA3IAtMC92IYOS3756ukbqUgBFTJw7TV6iUMCrrwJn/rR2Arj1FlXsu5uvADoTcGuRzbL2rZpYYleGMJiAOQE04r3vBXbdFc9udKC0OWIC7uwEPvWp0Dns/e+X3txy7TkswBzcO/UgACSVAjicsSCADY4CFklPBB/5SLAMV0c3248TwEiCaxFFTaSwjwpyoLk88MlPhqkLttwS2GOPcKcGmYA5bBVAIlRgBbn4/FmGQpkUQErrNAErBJBPJB40KzQohJwK91VFDjO/+UnM2GotGDF9OssP86lPRX7iKy/09ys/aNr1Fh+ZIuW2tiKA+ZRv2cpJpbd9TgDFh7H22qztcWfyNAogAHzwg8DxxwNbbx2W2UZpMSiAidxq992BrbZqOAFslg8gJ4DcmqGF6AMoJKLkz6GpPoBCXyihAJpE4jgMCmAaH8CsoABWMm1RMSKTYRYmXiATATQpgFOnAt/6VvD1vdvnRW1CD/8GCq++AAB4Obc5QEhqBRAAbs4cgPnYMLZd8heMSR0jdkEgKjQn33zn6UZuts46wK67CycrFFL5AHZ3VDCl3SmAo4Z8PqoAFtGeWgHMwLMax7Lt8k5VEmNuDg4SBvT2nHz5FArgMGGdsZV5AK3e7gF09rCTc38Imo05LoEAJl4yjQLYQAKYaQvrtoJcvP8foM2i3DQfQIUA8pyYHjLqPBGRoUhHhzTZWE14gHai5f47K1cm74ueHum5JfZZhKmQrJGNUQB5xWjt8T7Z0/gA2nQJOam3OYuArpzWCqCARgeBNCQRtKYwnACWbQjgwIDUh1rtA8jnFav+oGlDaU3AmWo5GD+9fEz98AerrNMYEE6TDyAgZzG3eW7KDbyYYW9stRDAyZOTj5EIYB0mYBGVKQl+7JnaFUBUq+FzcApg66EjgE1RAH2IJABIUMg4hMJwkxS/PMmmVwBr8QGsVQG0jYrJd7KT74T7AQBlWhsBrCKbigDyZx9rlktAYhoYfqq0BFDJN8WPA/RxB43yAQTSEUB0dkp1Xg8B5ApGhADqnsOUKdL8ZDSPCvc2ktIHMJYA6nwAleNEE/BIUhoYASRmeTktajEBC9D1GSGA1uqAhucB1Fyvg+e5iyPyXDZ74w2pUVgTQELMvjwpCCB/ubSa1zXPO60JuG3xAkwCk86r+ZiL8uchmMcBgwlY7XfiOoY1EECezsWWAIrDEreY2CiAG2fnB/enC6JKYwKuTjFksuDIyAqgVVymSACL4yQIhBByCCHkOkLIm4SQYULIS4SQswghE5X9egghfyKELCWEDBJC7iSEbNWMMhUK0QZipQAqkzMBteoPJJtBRRigxdxwRojpGhQFcMWkufK+MYRliNTuA1izAmgbFq2cnOfJ08K4lpYlEW+wD6C1CbgtvMcy8vr8iCI0kwKf3COkDAkEMKUP4JTMSgDMBzCWCADABz5QGwHUVDpXANddV/lB9xz4AvU+jJxJuLeOnpRv2UoZJQLIneI1voy8QeRINSAepWpOd8pUML40CPUjLodoSwAbsRKIjQ+g1gScwgcwuFYmRuEyVNL/sA0ACxMwYK64JAIoHMfro1ZhJ9EEHDO2WimAihVLGwRSrwKo3MBzHgvMS+sDCNgRwLJPAH/7xt7Ctmg50yiA1anpFEB1bI4zAY83BfAEAFUAJwPYG8BvAXwdwB2EsPUbCCEEwM3+798AcDCAPIC7CSHr6E5aD2pWAJVABFsF0PPkBsnz38VCowDyvvv41l8ETj6ZOY8r+6qwIoCjpACq+8WmEzn4YOaQvN56kZ8y8JKfwyj5AKoK4OmnJx+jgvugNSsNDMdHt18ZXC9WAfzOd4A//lFa3sxqggWMJuB99wW+9z3lB3EiyueBX/4y8vyNBFC4ty2378App4TxQYloa5Ne2L52dBZnHvIkBo45Cfjud9nGb3+bfX7ssfA4IcrPOghEhCJn7r03cN55wMYbG/YXTurVoACq+/1/e2cebkdR5v/Pe5eEm5AVQTACCSJgoixDxhEYlmQUkAASQRGCAQF/iAgqghrD+PBDGBaBER03FoERXBEEZBDEENzQmSiLRkRRggKjJLKIBHKz1PxR3bl1+vZS3ae7z/Z+nuc+59w+XV3V1dXV337fqrfOP5/08V0ZLuAG3eDcXLFxIlMDjMYXcF2aABw/Hi68sGHTUws/xEl8cePPefPbSI44X1M3H+CSS2JeZjzJ6wJ2Cdd2Tk0XYwEc5QJOswD6PPAiJ/CHtbYyqnIBv3wbm2D8mmfshgsvJG4IRR4LYJrBARglAKMvzGlhYFi3rqUWwCbeRQtxiDFmpfP/PSLyNHAtsB+wBDgU2AuYa4y5G0BE7gUeBT4MnFZmgQYHc04CSVDpvhZAY2xHGboy1oqHBdApTBiXLBSAMjgA5503sm+aBTAId1N0JZDUfrpZARh54K1La5p9ffCJT8DKlfDFLzb+5CMA22AM4Gt3GWDPPbPTjMZ2ZlEXsDHluoCnT34WsNd9lAXQvVYXXwzY50IQH7bJMYBrueyyjPA4Rx4Jp43uBnwsgH3jhzj3Y57lAxDhpYEJbLruWQA+89k+YLfgL2BoCC64oDFdjAt4zTr/MYDR++GII+CEE1L2dxtgfz9hU/AVgK5gGxiIEeBRMiyADTgn3Di2McBHAEYtgP0ZaT7sCPS+PtZfcDErgwAMTQnALAugw/iJ/Zx+uvfuo8h0AafEn0yJlJVtAUyaBQxNjwH8i9mc9eubE4Bp98/YCZF2ccop8JHR++WxAPZNylhGM+ICjvaXmS7gsDK63QUcEX8h4WtzGEDrUODJUPwF6Z7DWgXfUnaZCk8CieAlPBhtAVwnOS2A4xoF4Kg8U3r8F5qwAGa6gJM6cV9/VxBcNCRVAIbE3DBellin1wktEnUIwP6hkQocO8HfkhBH6RbAaAUEg/AMkvac2Yj7XGhGAEITLrOkcrpts8DB1wz6npBD0CDKsgBmti/noO4M+rxxSb3ygsw4gEn7hgHzGyggANdlCUAYaZQbNmwMCAD1CcBCle+Q6QKOTOJwiRk+PELWGEBfC6DXrMfGOniWyQwPFxOAPi7gUdcnQVRlrQTScMixGZOwMiyAmS7g0ALYAy7gOPYNPh8KPmcBv4rZbzmwjYikLTyTm8Iu4Ah5LIDNCMAwMG04uW1UOVN67xeMhwBMOPFMF3DSoGlfC+Dvftfwr9eKEjE3jK8Qd/eHeuIA9jkzwMdNaM74HveG31QcwOj1CwRgrMsuJnP3ueDtAk6odB89EIeXACzwlj08pkCXE+MCbsYCmEcAut+LaBCvNAUtgLFWap8HXxEBGMb9xBY3tCBVOgbQpZnBntg+MPVapAjAlFCpI9cuNNkHZK4FDI3jK1OWQIwtUxAWZ3i4ujGADQmGhhJvnDwu4Mz+qMgYwLAAzz8/ota73QIYRUSmAecAdxljlgWbpwLPxOz+dPA5JeY3RGRp0l9aGQYHRw9M9goEDfZmCHxVq3iZ1/2+fn1zAjC6NFUuC6DxCAMjErtDpgBMwlcARu6yohbAtYxeizGNTAGY6kux+FoABxwBOJRDAP4PszP3mTTJtsFEvM1yATkFYJkWwKIC0McFXOQte92YAhbAGBdwnjAwrRSAXhbAmJ18BGBZFsD1Ax7XcdddG/4NX1LqGgPYrAUwc13tmDBRXoR1+d73NmzeaHFMcwG7/6eqzNGEYcheeqm6MYANCVIudB4XcOZzL+ICjlZLqgBctao3LYCBJe9mYB3wrlaVwzYm4UVnHGDq2ptuZzVzJtx9Nz8a2Jd53ObVN2zY0GjdSg14HBJjAQwZ1V5TLYAeYwATdhi1Yokvvh3mt77V8K+XAHSW3Vo9djI3cDg/ZO9cAjB8OCemyZwC6x8GxnUBj5voUcgbb2TVznOYx21czXH8G4sSd73oIrjw9Tfy19fuC5dfPnqHMgVgDK4FsO0EYII48mXtJgUsgMF9OHH8aAugVxEiJ5NptXLu+1pcwDEW/2FsENxF0WZahQt4wCPN+efDnDnwjW8AdtjowQc3xNhOJlJxwwzy3//0vnxWvSYF4JFHZaRPEIBnclF6uoRzWMeAfadOXM4q4OKL4a1vtUHLczDcbxvxihXFBOCBB8LcubBwoWeClJvGVwAezg35BGBeF7BL0Y6vCeqeBAKAiAxhx/RtB+xrjHnc+fkZ4q18U53fR2GM2S8pv9mzZyeaccIGuIaxGydmvMQmydZt9yLNmgW77878yUtZtQr+0aM2jWkcCJ11rwGxYwBjfkrYMMLwuozxbiEJ43sKCUDfDnOvvayKCdbc8XIBO8tALH3DIt52z4dzZQkeFkBPAehlARxyXMCTPITx/Pn8fNx8Vh4Ix3N16q5bbglX/ux1wFJ4+OHRO3j7ZQOC8zZxQYjLsgAmVHpmO0uwynqFzvNSN5HjDhW3AG6x2YgAfGltDgtghMxVY+q2AMawlkGuuQYWLIj84AayjxumUEAAbvARgJttBkuWbPz3lFPsnxeRivsIF7L5oR/k9Z7J446Rl3csyEgf4wL+7NYXcPGfzkxPlzLOe9S1j7vXPvQh+5eT9UPj4XlYvrxYHMCtt4bvfz8jE08LoI8L+FO8nxs5nAuqEIBxBfASA+VSuwVQRAaBG4DZwEHGmF9GdlkOzBqVEGYCfzTG/D3mt8KEDdC1dJi40Bchrpk2ECDhtfS1AObGaSybjM+wAKZ0Or7jLuJOZA1jiwnAPJ2gU7deAnDmTCefkeuXJ8tQjNchAPvH5bQAppUrjThXQsHxJUUsgM2EgYHi/WA7CsBxm2xgIBCAq4eLTwLJDBruHFQGWiMAN9AX316dCxrGeWygiAs4Lc5dGUTyG8Nw/nuxSQGYmT7GArh+wuTs4yY8qGK9Lh5DYHyRTe19tHz5yLMojwXQy5lUogs4HNKQ1wUc1Q6pYWBaTN2BoPuA64G5wGHGmLgV428BponIvk66icAhwW+lktSovC2AjFxL31nArlWldAtgSu/te9OVZgEcHMz3NHdEipcL2HkqTnn+jxu/l+oC9hjn4isABx0L4KaT/QpZqJ+IE3sFVZXvGMBwfA7kGCdfcifoJQCL1MO44rOA3Y7EZM04d8krAKNhYEZ/9aaoC3iQtZnnFq713EARC2DVAjBScWNZk78um5wEknkhYiyAZkrsEPlGUlzAoyhksYhncNKIAAxFUlYVub971b/blpq0ABYSgIODfmMAm20bJVF3KT4LvA04D3hBRNxBBI8HruBbgHuB60TkTKzLdxE2AFrG4Ib8JImhRAtgigD0nQWc2wXstKCh8Y2tqS4LYCEBmNeU4FiuvASgw+TnR0YRtMIFnBZ3dWO5HAE4frLf2MhC/USJs8l8XcB5hxgCpXeCVVkAmVB8FnAYH9ANJu1VhEgdt50LOEEAZlp0iloA+/rYgNAX9J0b0pY6K4NIxXWKBbBvanEBGOt1KdECuMnLRgvArPbitdSjS4ljAMOwRpWMAexFCyDw5uBzMVbkuX8nAhhjNgAHA98DPgfchA1rOscY86eyC5TbAjgwAHvuCXvssXEpqjwWwI9+tDlX/9C4xsSj2lHKwcM3k0osgCefzLpNJ/HJfifqZt6HrSNcvsY7+PvgZDjppPQ0X/gCTJjAj/cdGXnu1VFfeilrxk5gMTaIduL9OH++HUuUwjBj/JYzdVzAvhbA6LlcdZXtkL7ylZREURfw4Yd75cUZZ4wyNW3oG+Taa7OT7ryz9cjPn++XFdBQ6Q9uPpfVDHEiV+Q4QCOp8QqPPdZOGpozJ/dxt53VhAAMCB+u/f2e9/9ll/FS3xDv4fNAPhdwLWFgYki1AM6dy9+m7cTJfJ4XiDyYPZWVO7nFjKnPAjjMIJ/n5Pz1kidB3E2Wlf7WW63IuflmOOoo2G47Drv4n5kyhfRVhhKOe9wJFbmAP/1pmDSJsZ+5BBF4/PHAECJ+VbTffnZVmoxu2LKpc6+mvJUmGkpLcAF/+9vpyykDo0/8+OMzMqmGWi2Axpjpnvs9DRwf/FVKbgugCPzwhw0LhuexAG6/PZhtBVaMHC4T5yaMPttT+84bb2T4059nzNLvATlWnEmwAKa+qG+1FQPPPc2H6IP+YBmmJgTgKl7Ge474K9d9IeMYJ50E7343T10wsp/X8+SDH+TKgffz0GkZbrnJk+Gpp2Dq1MToqmsY62UBGxw3Uq8TphRzAR9wgPX8pFate/2WLoV9903ctYFPftIunTQwsLHNHXT4EBKddRfzUBgchF/+MufLjXNyD03Zi11Xfg9DH1fmOIRLqgXwmmvsDgUsgGOnNOECDggFoLcVafZs5r/x73z3TnucPLOAmx0DWIkAvOsubv+a4aGj+5jA82yQgdziYr0M0B9MItlQowCcwPMMM7ZaC+DChdaosMMOI9uy2upBB9k4cn19cMghYAxb9/WxalVG0oRhLRdeXJEF8NRT4ZRTGOjrY7PNbOQT8A8QsWSJLYbXrRszG01k9GkkLqkYIwDzxgE86CDrOPKOt3viifGRG2qgHQJBt5TcAhDsBXeedHksgNC4MmFea2BUvKXmOThI37oRe3Q4ZCRTABYdA9jX13iTNuECXk8/g2M90/f1NdxPvtdh4mRP0Ri53lGGGVOZAIyWa3AwZ7XmHcPT19fQQGQoxtWW8FDIqKbRuFYWGbNxjFwmRWcBF53dsGnzFsBwSEMeTbD6JUfUZdWruxJI/0ijKeJlL+oCTnWTirBugz2woa+QsNjQ5xy86pAZTn2GQqByF3D07d4nfXixRDZ+z7x+kRVANhJ3gmWNAQwK5eoz7+el5Lh1Y2ajxVVjovhssPyOSd83JGIBjOYZ6010d5g0qSUzgEEFYDEBGCG8/nlihIbkve65+oj+fvrWjrzteQvAsmYBN2EBzFx6LkIRAeiOq8pMU4IAHLPpyAlNmOrXWKLXN3cb81nHLYrbQKqMTu++bZvmlsaDUserN1JkgGOCCziPiEhZ6CE9vxaFgRnDcGr7jO1Tc3SADQKwagugQ/hiUqkLGEbf3FWNE0sKIB2XX4ljACH/UsJNZRDct9H2nNrkYiyAeV6+YmPoxrV7t1BFXjBLQgVg3jGAMeS1ALo3VaUWwP5+ZO2IBTB88csMOF7WLOAmLYBVC0B3XFUz8xGGGeMV+sS1AE6a6te5x1kAc1FEALoNJK6xlPVQiLGyNEORU/WiiABMcAHneabnEoAluoCrmgWcaQnJwNRpAYx5m8jdR+RNEL25iyrxLJIaVlx5SxaAeZcSbiqD4L6NNrGddkpJHzMJJJOICzhKpjFJBWDrSGqEeQaz5xkDGCXvGMCoAMyyAMr73gfA1Ry3UQAWHQOY+/za3AJYpgD00QhjJ4yc0NhN/JR/9Pp6lzM8Oa9lDyLUZQGMcbcUIZwn9IEPNFmeJPbe236+/OX+adrEAliZC9hh+Yx5AHyZd7L11sn77bOP/WzYJ0dmxj2ZqpfNihE+3lr1LW+xnyeckC/PaIdXlQUwyQUcl1/JZvVWWACjp5U6QSbGAphJjAvYJVMAFgqhUA7tEYymhcQ1wkcegVe9yv8YuS2Aec1+RSeB9PfDccfxD6fuxQMvvGpj1pnCKuaghSw0bW4BLOoC3omH+A2v2fi/rwDsG+hj5a/+Qt9gPz4T2uLK5d1pPvEEPPMMbLWVZwIHt5HFCcCyrAJFOtsYPvc5+OAHG8fPl8o228Bjj9mJQL5EnjphOJ3KBKCb9cBIWy3BeBmPcz/s8KubWHbzCj7zT6/mla9MTrLDDnYZsM03B8Jy5RA5fWNGKs9U+WICsW3c+9p985v2RBNnGiTQahdw3IWv0AJYSSi8jDGADz3kbwEsJACLWADzrtJUIioAY65xHvEHBSyAdbmAg1H5j4/bgQ2O+zczz5iDbqA/v4utSQtgHi9P5RZAp9J+S6PS8BWAAJvP2iJ7Jwe3XL5hEwDrVijqWnAbWZWWlpJcwH19sOOOZRQohW22ybd/5EKFAZArcwEnZF2ZAHQYHDfI7KP8xM622xbPbHCTkZtBqrYAxli+vK/d4GB+8Remc6nbBRxHp40BdGPFBG3ErcZU8QfqAu41ymiEuS2ADnldwAMDid6exIJlGXRGkdDx5PYGNKFu63YB53kwG2xQ2hDfMYBFyBhfXA1ZLuAKxgCuMcVdwG1J5B4KAyDn6SPCsE15qUUAljVrMceNNzA0UnmrTRtbAIvS35+4okup5OnIO20MoFtngdDNVY095gJWAViiAPQ+ltN5FulH3WeyT6wh15Lm9eKcUKjcArBFLmDfG96tl8xJP5E6cQek+8YBLIJ7fWtbPagFk0CGS5gF3FbErCQRszmVXBZA55q4eRR5Mal1kYIcfYQ4N8Bjf2njMYDN4D5E2mG1iE6zALoEYx1rFYAxJ5X5bGmhC1gFYHC9buAI++Wgg3IfI7z+RWYBH3povv2hUQCmNu5p04BGoeNlAUwQgHld482EQRBMLgHYrFCaMCHf/usGRio1jws4L24VVj3xcSNZFsBwUkSeMXFxOBfqtf9gL/brXtfcIduGBBdwnrb59rfbz6OPLp51ZRbANwSreFa93q2Lc2LbzarfAliVR7YBV0BUleGBB/rvu/32pWa95ZYj3yt/oQ0mwBUVgGW5gHfZJSP9jBl++VSAjgEMrtcH+XdO/M996TtkXu5jNDML+MIL86dxjTKxN9EDD8Cf/7xxul0ZAvA737HL8eQibwfm5DvI2spdwAD33Wcj07tvplllA/j7lq9m7B/vA+ybYlUvce65vOxl1eQxiqwxAyecYGfQhEKwKM5FO/wdg1z/FnjTmzzSlWyVqIRI2w/XsM3zMLriCvuCGE4q9aVZAehVxiOPtOe4xx75M8idWYBzM7z16PrHANaC2+lVZQH86lfhttvgmGPs/+997+ilyB56yM6G3HXXUrPebruR73lCreXiD3+An/98o9DN9Rgq0QX86KOwbBkcfHBCuvvvt6tMpU2dr5ieF4Dh9VrNeOSYBY3LdHjSzCxgL0GW1wK4884N4T/KcAHPy6+LmxonVJcA9O7fogJw2o5sFgjADfTXYgHMFKllkTUJpL/fCoBmcU5ucNwgR+dZR7jdSXh452mbEyfCggWeOzt9hPs8KjJZ1nsMYGiibIaCAnBwYsUWwBhqWayhDhfw5Mm2YYUCcO+9YffdG/fZaSePGRP5cfv03/++9MNbZsxosKrlqsYiE9MSLIDTp9u/RDJNg9WjLuDgevX3F7/Bm5kFXGT/TAtghLJcwLlpwoUxhuFaBGBRVr+i0TVSxxjAlgjAmlYCyR9lvM0pQQAWZXgk9nutK4EUIk9mbuW1IAxMLdThAo5SWQT1eMKJukVnueelchew+7ysbaB2OagADO63Zq5bM7OAi+A9CSSgrEkguekmARipk9XTGsM81CEAt8gXQaY4WZNAyqIlU5xrIqHtVzau3xEsa9ak7OdBRwjAFoSBqYU6XMBRKvPFxlNZvM4EKncBJ6TvBFQAligAvZ9hoenXd2WBYDJHiDvezKePyB0GJioAi3ZETTxJ/spmlccBzEXgK35qyMaDW7NTo/m+KoNEy13ANa0EkksAdsIYwLotgCUIwLBss2aVUB5fOsgCWIsL2O306hKAtXUslje+sdbs6hWAHebJ6Cy5WgEtsQBecYWdUnvyyX77H3kkLF++cYS8O66gFhdwUSFXoMd84kt3cOXxP+ZO9ucD7WQBvOYauOgintzrFM78Gex+/C589cpP8u1fbD0q/zJxq762SSDqAm6ehAZRxzO9aPzA+++HL30Jzjqr1OKkU7RCqra0tOolY/p0OwEDqjfF3nEH/OhH8OY3V5tPhMWL7WIkhx9eT35FXcALTxjD3JM80119tb3xqn4xKRkVgCUIwPA+9TZibLEFXHqpfwb9/XDeeRv/dd/QfRp30y7gGi2Aa+fsz9nsD+TTBJULwC23hEsvZVdg16Dj+sHrz+Abv6ggLwf3UrhB7itFXcDNk9D26/AQFRWAs2bBJZeUW5ZM8vQtrquyanNcqyyAs2bB7bfb71W/Ley/v/2rmbFj4eKL68uvqAD8yFmDMN0z3XHH5cikfVAXcCtcwE3iCsBaLIBFO6IC6VzR11YCMIa6A7g3G3bPm3Z3AXcCdVsASxwDWCt5XhIzl1QokVaNAcz7dq9kUlQAdp1XIgYVgB04CaR2C2BRV0SBdK4OUAHYSG0CsBUWwG7rbFs4C7ioBbAl5Okj6pys0EoLYEits3G6l8ICsNteSmPo+RZWhgAM09bVXl75ypHvbsiHJFo2CaRAj9lJArC2WbkBXT0GMM/Nk3fZllZQtwvYuck7SgDmadR1WgBjBGAt7yivec3Id7UAlkKuoTM9JgB1DGAJAvDoo+GJJ2Du3HLKlIWIHRK4bJnfjD13EnGtk0AKpCvDBVxXv3n88XDLLdUPZl60yLavV786e99ScCu+yk4wrwXwppvgssvgE5+orkxlUbcL+LDDbLT2Aw7gpdMqyqNMliyBs8+Gq67yT9MiF/CFF8JPf9r8wjdebLopnH46PPts/S6GLuXyy+HYYz0nN/WYC1gFYAkCcN68gitlNMHHPua/78yZI9/bfRJIJ1kAh4bsRLqq+bd/qz6PRKr0e+UdA3jYYfavE0i4ZyqrzsFBu14jQCAA2zok2Zw59i8PLbIAfvjD9WULtGAmTnczfTrcc4/nzt08LjkGdQE7K4F0K66VsNCQrhoFYFELfCsEoNIk3exuSWj7dUYXqTpWcu202AWs9ADufdsDDxIVgCVYANsd1wX8/PMeCVroAnazzmMtUQHYgfTgJJA6J5d2nQBs8SQQpQdwr3sts35aiwrAHhCAbjt+4omcCaAlK4HEFSMNFYAdSDe7W9pAAOZZSacj6IUwMEpr6THh3/MCcMcd7WzOWgb4tpCLLoKJE+GUUzx2bqEFEGC//exCKZEV8FJxRZ8KwCY54AA7O3PhwmrzGRiAnXeG3XbrvrftSNs/k4uAenTFl79s9ee111afV62oBVCpmle8ArbfHvbZp9UlqYWef1ROnQpPPtndYwABzjzTTi7zOs8WWwCXLLH9b57kagEskQkT4M9/rv6mEIH77us+8QeNdffb33LxDnYKdx264phj4KijurBP0zGAStX098PDD3dnnxSDPirpwo4yAe/zbLEFUCT//acCsGTquim6NditW39O7KW6PItd2aepBVCpg27tk2LonTNV/GlhIOiiqABU2gr3IeJMcNGhZU2gFkBFKRUVgMpo2mQSSB5UACptRcIMZ9UVTbB+fX156YVSegAVgMpo3vnOxv9PPTVf+vnz7eeJJ5ZTHg9UACptRYIAVAtgEyxebD8//vHq8/roR+3nGWdUn5eitAh9VCqjOeQQOxB2m21gxQo7VToP3/gG/P73+dM1gQpApa1QAVg+55wDCxbU068sXmzXeKyxD1OUutFHpRLPDjvYz512yp92YKD2jrMVawErSiKuC9FpkCoAm6CvD17zmnryEqkvL0VpEeoCVroCtQAqbYU7Xs0ZU6sCUFGUdkEFoNIVqABU2oqECQs6t0BRlHZBBaDSFagAVNqKKVNiN6sFUFGUdkEflUpXoAJQaSs23xzuvNMuNeSgAlBRlHZBH5VKV6ACUGk73vSmUZtUACqK0i6oC1jpClQAKp2ACkBFUdoFFYBKV6ACUOkEVAAqitIu1C4AReSVIvIZEblXRFaLiBGR6TH7bSIinxSR/xWRF4P996m7vEpn4K46p3EAlXZj3Dj7qaHlFEVpF1phK9keeDvwc+CHwP4J+10FzAPOBP4AnALcISJ7GGPur6GcSgchApdfbqNvqABU2o1ly+CLX4Szzmp1SRRFUSxiag5MJSJ9xpgNwfcTgSuAGcaYFc4+uwD3A8cbY64Otg0Ay4GHjTGH5slz9uzZZtmyZeWcgKIoiqIoSoWIyM+NMbOrzKN2F3Ao/jI4FFgLfN1Jtw74GnCAiIytqHiKoiiKoihdT7tOApkFPGqMWR3ZvhwYg3UjK4qiKIqiKAVo1/mSU4FnYrY/7fzegIgsTTrY7rvvXk6pFEVRFEVRuoB2tQAqiqIoiqIoFdGuFsBngG1jtoeWv6ejPxhj9ks62OzZs3UJdkVRFEVRlIB2tQAuB2aIyLjI9pnAMPBI/UVSFEVRFEXpDtpVAN4KDAJvCzcEYWCOBO40xqxpVcEURVEURVE6nZa4gEXkiOBrODvjzSKyElhpjLnHGHOfiHwd+JSIDAKPAicDM4AF9ZdYURRFURSle2jVGMBvRv7/XPB5D7Bf8P1dwHnAucBk4AHgQGPML2oon6IoiqIoStfSEgFojBGPfV4ETg/+FEVRFEVRlJJo1zGAiqIoiqIoSkWoAFQURVEURekxVAAqiqIoiqL0GCoAFUVRFEVRegwVgIqiKIqiKD2GCkBFURRFUZQeQwWgoiiKoihKj6ECUFEURVEUpcdQAagoiqIoitJjqABUFEVRFEXpMVQAKoqiKIqi9BgqABVFURRFUXoMFYCKoiiKoig9hgpARVEURVGUHkMFoKIoiqIoSo+hAlBRFEVRFKXHUAGoKIqiKIrSY6gAVBRFURRF6TFUACqKoiiKovQYKgAVRVEURVF6DBWAiqIoiqIoPYYKQEVRFEVRlB5DBaCiKIqiKEqPMdDqAlSNiCwF1orIg60uS5uxY/D5cEtL0X5ovYxG6yQerZd4tF7i0XoZjdZJPDsCO1edSdcLwICfGGP2a3Uh2olAGKP10ojWy2i0TuLReolH6yUerZfRaJ3EE9ZL1agLWFEURVEUpcdQAagoiqIoitJjqABUFEVRFEXpMVQAKoqiKIqi9BgqABVFURRFUXoMMca0ugyKoiiKoihKjagFUFEURVEUpcdQAagoiqIoitJjqABUFEVRFEXpMTpWAIrI1iJyg4g8JyJ/E5EbRWQbz7SbiMgnReR/ReRFEblXRPapusxVIyJHiMi3ROSx4LweFpHzRWSCR1qT8LdrDUWvFBHZL+HcnvVI25VtBWy0+ZTr/t2MtF3RXkTklSLymeC6rg7OYXrMfk21AxF5t4j8RkTWBPfle0o9kZLxqRcRmS0ilwfntVpE/igi14vIDM88ktrfB6o4pzLI0V6auj86qb14tpWzU+rkJY88Oqqt+D6LRWSKiFwpIqtE5AURuUtEXueZR5+ILBKRFSLykog8ICKH5ylnRy4FJyLjgCXAGuBYwADnAneLyM7GmBcyDnEVMA84E/gDcApwh4jsYYy5v7KCV88ZwB+BjwGPA7sBZwNzRGRPY8yGjPTXAF+MbPttyWVsJacB/+P8v84jTbe2FYD3AhMj2/YALgVu8Uh/DZ3fXrYH3g78HPghsH/CfoXbgYi8G1tP5wN3Af8CfE5ExBjz+TJOogJ86uUdwCzg08ByYBrwr8AyEdnVGPMnj3weBE6KbFtRsMx14NteoOD90YHtxadOrgSiL5Xjg20+fQ10VlvJfBaLiAC3AtOBU4FngEVYHbOrMebxjDw+EeSzGFv37wC+KSIHG2P+y6uUxpiO+wPeD6wHtne2zcA+0E/PSLsLVjC+y9k2gF2M+pZWn1uT9bJ5zLaFwfnOzUhrgHNbfQ4V1ct+wfm9MWe6rm0rKed8FfbFamovtBegz/l+YnBe08tqB8F+TwHXRrZ/CVgFDLa6Dpqol7j+ZltgA3CORx5LgR+1+lzLrpfgt0L3Rye2F986iUn3zmDfed3WVnyexcBbgv/nOPtMAp4GPp1x/C2Cfvr/R7Z/H3jQt5yd6gI+FPipMeaRcIMx5lHgx9hKzUq7Fvi6k3Yd8DXgABEZW35x68EYszJmc2jxmlZnWbqErm0rcQSW9bcBtxpjnm51eerAZFvFobl2sAewOXBdZPuXgc2Af85V4JrwqZe4/sYY8xiwki7tbzzbSzN0XHtpok6OBf4C3FFicdoCz2fxocCTxpi7nXTPYa2CWTrmAGAMo9vJdcDrfIdhdKoAnAX8Kmb7cmCmR9pHjTGrY9KOwZqzu4l9g8+HPPY9ORhzslpElojI3lUWrAVcLyLrReSvIvIVyR4z2mttZT4wAbjWc/9uby8hzbSDWcFntL9aHnxm9VcdhYi8Bmud8OlvAHYTO457rYg8KCInVFi8uilyf/REexGRrYE5wPXBy5QPnd5Wos/iNB2zjYhsmnKsWVgL4COR7bnaSUeOAQSmYv3lUZ4GpjSRNvy9KxCRacA5wF3GmGUZu18HfAd4EuvGORNYIiJvMsYsrbSg1fMccAlwD/A37HiMjwH3ishuxpinEtL1TFsJWIh1P93usW83t5cozbSD8Ldo+q5rQyIyAHwBawG8yiPJD4DrsePiJmPb35UispUx5tyqylkTRe+PXmkvx2ANUL4vmx3dVhKexVOJH8MYXuspwN8TDjkVeNYEft+YtF7tpFMFoJJB8PZwM3Zc5Luy9jfGvNP594cicjP27eRc2tDtkAdjzH3Afc6me0TkB8B/YyeGnNWSgrURIvIK4I3AZT5v5N3cXpTC/AewJ3ZMV5xgbsAY8/HIpptF5CZgsYh8yhiT9PBre/T+yGQhcJ8x5kGfnTu5reR9FtdJp7qAnyHe0pf0pu6bFkYUdMciIkPYcQTbAQeY7NlEozDGPA/cBvxjycVrC4wxv8C+TaadX9e3FYe8b+QNdHl7aaYdhP1RNH1XtSERuQD4f8Dxxpg7mzjUV4FNAK9QGJ1Cjvuj69uLiLwe2ImCfY1D27eVjGdxVr+SpmWeASYHM4nj0nq1k04VgMsZGSvhMhP4tUfaGcGA92jaYUb71DsKERkEbgBmAwcZY37Z5CG7fbHotPPr6rYS4VjgAWPMA00epxvbSzPtIByTE+2vwjE6Wf1V2yMii4GPAKcZY75c0mG7sR1B9nl1fXvB9jVrga+UdLy2bCsez+I0HfPHDKvmcmAs8KqYtODZTjpVAN4CvEFEtgs3iA08uRfZMYVuBQaxsx3DtAPAkcCdxpg1pZe2JkSkDztOYi5wmDHmp00cayJwMNZN2nWIyGxgR9LPr2vbiktQFzNp4o28y9tLM+3gXmz4jgWR7cdg39J/XG5R60VETsO6NRcbY/6jhEMuAF4Emn1xbSty3B/d3l7GYOPV3Z4wUzYPbdtWPJ/FtwDTRGRfJ91E4BCydcx3sSI6rp38KoiKkkmnjgG8AngfdhzAWdg3gE8Af8IJvCki2wK/x8akOgfseDAR+TrwqUChPwqcjI0jGK3MTuOz2IfUecALIvIG57fHjTGPx9WJiJyBFUN3MzJo+QxgSzq/ThCR67HX+RfAs9hJIIuAJ7BBbHuxrbgsxI5PuT76Qy+0FxE5Ivi6e/D5ZhFZCaw0xtyTpx2IyCPAY8aYfwEwxqwVkX/FBvJ9AhvYdy5wPHCqMWa46vMrSla9iMg7gE9hH0ZLIv3N34wxv3aO1VAvwYzYjwI3YgfCT8Jahg4FPmqyg/m3DI968b4/uqW9ZNWJs+vBWDdl4stml7SVzGcxVuTdC1wnImcyEghagIvcg4nIOmxsyBMAjDFPicilwCIReR77bDsS21YO9S6lb8DAdvsDtgG+hZ3V+TzwbUYHKp2OFYdnR7YPYVc7+DPwEvAzYL9Wn1MJdbIiON+4v7OT6gT7xvFj7JvnWuCvQeN8favPqaR6WYSNIv9ccH5/Ai4HturVtuKc3yB21uatCb93fXtJuWeW5m0HwT24NGb7Sdgxp2uA3wHvbfV5N1sv2JUuMusurl6woXNux76ErcHOdvwJcFSrz7uEevG+P7qlveRoBzcH9TEm5Vgd31bweBYH+03FBvl+GliNDeS8S0L9XhPZ1o+dwPhYUC8PAkfkKacEB1IURVEURVF6hE4dA6goiqIoiqIURAWgoiiKoihKj6ECUFEURVEUpcdQAagoiqIoitJjqABUFEVRFEXpMVQAKoqiKIqi9BgqABVF6UhExHj8rRCR6cH341pd5hARmSYiLwSrsPim+YCI/DJYZUBRFKUpNA6goigdSSS6PsBNwAPA2c62Ndh1MXcDfm+aX36qFETkS8AWxpiDc6QZwq5CssgYc3VlhVMUpSdQAagoSlcgIiuAHxljjml1WdIQkZdjV6OZb4y5LWfai4B5xpi4ReQVRVG8UVeCoihdTZwLWESuEZHHRWS2iPxERF4UkYdFZF7w++mB+/hvInKziGweOeaAiCwSkd+IyBoReVJELhGRTTyKdBx2+co7Isc8ICjLcyLy96A8H4+k/RowU0T2LFAViqIoG1EBqChKrzIR+E/gSmA+8BTwLRG5BJgDnAJ8IPj+2Uja67DrcH4FmAecD5wAXO+R74HAvcaYdeEGEdkOu17so9hF3Q/Frj08PpL2fqx4PNDvFBVFUeIZaHUBFEVRWsQE4D3GmB8AiMiT2DGEBwMzjTHrg+2vBU4VkX5jzHoR2Rsr0o41xvxncKy7RORp4DoR2dUYc39chiIiwD8B/x756R+AMcDJxpi/BduWRNMbYzaIyANAdPyjoihKLtQCqChKr/JCKP4CfhN83hWKP2f7ALBV8P+BwDBwQ+AKHhCRAeDO4Pd9UvKcDAwB0cko9wNrga+JyBEiskXKMVYCr0j5XVEUJRMVgIqi9CrPuv8YY4aDr89E9gu3h+P7tsBa617Airbw76ng981S8gyPsSaS9yPAAdg++cvAn0XkpyKyb8wxXsSKSEVRlMKoC1hRFCUffwVeAvZO+P3JjLQAU6I/GGPuBu4WkbHAXsA5wG0iMt0Ys8rZdSqwKppeURQlDyoAFUVR8vFd4CPAJGPM9/MkNMYMi8ijwHYp+6wBlojIpsDNwAwaBd8M4L9zl1pRFMVBBaCiKEoOjDFLReSr2DGAl2LF2AZgOnAQ8BFjzG9TDvED4PXuBhF5D3bs4H9hYwS+DFiEtSb+ytlvMrADcHFJp6MoSo+iAlBRFCU/xwCnAscDi7Fj+lZgY/v9JSPt14GFgWt3RbDtAeDN2HAyWwBPAz8CFhhjXnTSzsOOSbyplLNQFKVn0ZVAFEVRaiRYy/d3wNXGmHNzpr0dWGWMeWclhVMUpWdQAagoilIzIrIAG+h5hjFmtWeaXYGfAbOCWcOKoiiFURewoihK/XwFmIYdN/hrzzRbAsep+FMUpQzUAqgoiqIoitJjaCBoRVEURVGUHkMFoKIoiqIoSo+hAlBRFEVRFKXHUAGoKIqiKIrSY6gAVBRFURRF6TFUACqKoiiKovQY/wdKnEeDz+k3vgAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "long_dt = 0.03125 # seconds\n", "long_exposure = 1600. # seconds\n", "long_times = np.arange(0, long_exposure, long_dt) # seconds\n", "\n", "# In count rate units here\n", "long_signal_1 = 300 * np.sin(2.*np.pi*long_times/0.5) + 1000 # counts/s\n", "long_signal_2 = 200 * np.sin(2.*np.pi*long_times/0.5 + np.pi/4) + 900 # counts/s\n", "\n", "# Multiply by dt to get count units, then add Poisson noise\n", "long_noisy_1 = np.random.poisson(long_signal_1*dt) # counts\n", "long_noisy_2 = np.random.poisson(long_signal_2*dt) # counts\n", "\n", "long_lc1 = Lightcurve(long_times, long_noisy_1)\n", "long_lc2 = Lightcurve(long_times, long_noisy_2)\n", "\n", "fig, ax = plt.subplots(1,1,figsize=(10,6))\n", "ax.plot(long_lc1.time, long_lc1.counts, lw=2, color='blue')\n", "ax.plot(long_lc1.time, long_lc2.counts, lw=2, color='red')\n", "ax.set_xlim(0,20)\n", "ax.set_xlabel(\"Time (s)\", fontproperties=font_prop)\n", "ax.set_ylabel(\"Counts (cts)\", fontproperties=font_prop)\n", "ax.tick_params(axis='x', labelsize=16)\n", "ax.tick_params(axis='y', labelsize=16)\n", "ax.tick_params(which='major', width=1.5, length=7)\n", "ax.tick_params(which='minor', width=1.5, length=4)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Pass both light curves to the `AveragedCrossspectrum` class with a specified `segment_size`.\n", "If the exposure (length) of the light curve cannot be divided by `segment_size` with a remainder of zero, the last incomplete segment is thrown out, to avoid signal artefacts. Here we're using 8 second segments." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "200it [00:00, 12346.54it/s]\n" ] } ], "source": [ "avg_cs = AveragedCrossspectrum.from_lightcurve(long_lc1, long_lc2, 8.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that also the `AveragedCrossspectrum` object could have been initialized using different input types:\n", "\n", "1. from `EventList` objects as\n", "\n", " ```\n", " bin_time = 0.1\n", " ps = AveragedCrossspectrum.from_events(\n", " events1, events2, dt=bin_time, segment_size=segment_size, \n", " norm=\"leahy\")\n", " ```\n", " (note, again, the necessity of the bin time)\n", "\n", "2. from `numpy` arrays of times, as\n", " ```\n", " bin_time = 0.1\n", " ps = AveragedCrossspectrum.from_events(\n", " times1, times2, dt=bin_time, segment_size=segment_size, \n", " gti=[[t0, t1], [t2, t3], ...], norm=\"leahy\")\n", " ```\n", " where the light curves, uniformly binned at 0.1 s in this case, are created internally, and the good time intervals (time interval where the instrument was collecting data nominally) are passed by hand. Note that the frequencies of the cross spectrum will be expressed in inverse units as the input time arrays. If the times are expressed in seconds, frequencies will be in Hz; with times in days, frequencies will be in 1/d, and so on. We do not support units (e.g. `astropy` units) yet, so the user should pay attention to these details.\n", "\n", "3. from iterables of light curves\n", " ```\n", " ps = AveragedCrossspectrum.from_lc_iter(\n", " lc_iterable1, lc_iterable2, dt=bin_time, segment_size=segment_size, \n", " norm=\"leahy\")\n", " ```\n", " where `lc_iterableX` is any iterable of `Lightcurve` objects (list, tuple, generator, etc.) and `dt` is the sampling time of the light curves. Note that this `dt` is needed because the iterables might be generators, in which case the light curves are lazy-loaded after a bunch of operations using dt have been done.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again we can print the first five Fourier frequencies and first five cross spectral values, as well as the number of segments." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.125 0.25 0.375 0.5 0.625]\n", "[291.76338464-640.48290689j 182.72485752 -35.81942269j\n", " 293.42490539+276.16187738j 771.98935476-595.89062793j\n", " 361.32859119-101.50371039j]\n", "\n", "Number of segments: 200\n" ] } ], "source": [ "print(avg_cs.freq[0:5])\n", "print(avg_cs.power[0:5])\n", "print(\"\\nNumber of segments: %d\" % avg_cs.m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If `m` is less than 50 and you try to compute the coherence, a warning will pop up letting you know that your number of segments is significantly low, so the error on `coherence` might not follow the expected (Gaussian) statistical distributions." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "40it [00:00, 7645.47it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "40\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "test_cs = AveragedCrossspectrum.from_lightcurve(long_lc1, long_lc2, 40.)\n", "print(test_cs.m)\n", "coh, err = test_cs.coherence()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Properties\n", "An `AveragedCrossspectrum` object has the following properties, same as `Crossspectrum` :\n", "\n", "1. `freq` : Numpy array of mid-bin frequencies that the Fourier transform samples.\n", "2. `power` : Numpy array of the averaged cross spectrum (complex numbers).\n", "3. `df` : The frequency resolution (in Hz).\n", "4. `m` : The number of cross spectra averaged together, equal to the number of whole segments in a light curve.\n", "5. `n` : The number of data points (time bins) in one segment of the light curves.\n", "6. `nphots1` : The total number of photons in the first (interest) light curve.\n", "7. `nphots2` : The total number of photons in the second (reference) light curve." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the amplitude of the averaged cross spectrum!" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "avg_cs_amplitude = np.abs(avg_cs.power)\n", "\n", "fig, ax1 = plt.subplots(1,1,figsize=(9,6))\n", "ax1.plot(avg_cs.freq, avg_cs_amplitude, lw=2, color='blue')\n", "ax1.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax1.set_ylabel(\"Cross spectral amplitude\", fontproperties=font_prop)\n", "ax1.set_yscale('log')\n", "ax1.tick_params(axis='x', labelsize=16)\n", "ax1.tick_params(axis='y', labelsize=16)\n", "ax1.tick_params(which='major', width=1.5, length=7)\n", "ax1.tick_params(which='minor', width=1.5, length=4)\n", "for axis in ['top', 'bottom', 'left', 'right']:\n", " ax1.spines[axis].set_linewidth(1.5)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we'll show examples of all the things you can do with a `Crossspectrum` or `AveragedCrossspectrum` object using built-in stingray methods.\n", "\n", "# Normalizating the cross spectrum\n", "The three kinds of normalization are:\n", "* `leahy`: Leahy normalization. Makes the Poisson noise level $= 2$. See *Leahy et al. 1983, ApJ, 266, 160L*. \n", "* `frac`: Fractional rms-squared normalization, also known as rms normalization. Makes the Poisson noise level $= 2 / \\sqrt(meanrate_1\\times meanrate_2)$. See *Belloni & Hasinger 1990, A&A, 227, L33*, and *Miyamoto et al. 1992, ApJ, 391, L21.*. This is the default.\n", "* `abs`: Absolute rms-squared normalization, also known as absolute normalization. Makes the Poisson noise level $= 2 \\times \\sqrt(meanrate_1\\times meanrate_2)$. See *insert citation*.\n", "* `none`: No normalization applied. \n", "\n", "Note that these normalizations and the Poisson noise levels apply to the \"cross power\", not the cross-spectral amplitude." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "200it [00:00, 15141.07it/s]\n", "200it [00:00, 12807.43it/s]\n", "200it [00:00, 13023.36it/s]\n" ] } ], "source": [ "avg_cs_leahy = AveragedCrossspectrum.from_lightcurve(long_lc1, long_lc2, 8., norm='leahy')\n", "avg_cs_frac = AveragedCrossspectrum.from_lightcurve(long_lc1, long_lc2, 8., norm='frac')\n", "avg_cs_abs = AveragedCrossspectrum.from_lightcurve(long_lc1, long_lc2, 8., norm='abs')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we plot the three normalized averaged cross spectra." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, [ax1, ax2, ax3] = plt.subplots(3,1,figsize=(6,12))\n", "ax1.plot(avg_cs_leahy.freq, avg_cs_leahy.power, lw=2, color='black')\n", "ax1.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax1.set_ylabel(\"Leahy cross-power\", fontproperties=font_prop)\n", "ax1.set_yscale('log')\n", "ax1.tick_params(axis='x', labelsize=14)\n", "ax1.tick_params(axis='y', labelsize=14)\n", "ax1.tick_params(which='major', width=1.5, length=7)\n", "ax1.tick_params(which='minor', width=1.5, length=4)\n", "ax1.set_title(\"Leahy norm.\", fontproperties=font_prop)\n", " \n", "ax2.plot(avg_cs_frac.freq, avg_cs_frac.power, lw=2, color='black')\n", "ax2.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax2.set_ylabel(\"rms cross-power\", fontproperties=font_prop)\n", "ax2.tick_params(axis='x', labelsize=14)\n", "ax2.tick_params(axis='y', labelsize=14)\n", "ax2.set_yscale('log')\n", "ax2.tick_params(which='major', width=1.5, length=7)\n", "ax2.tick_params(which='minor', width=1.5, length=4)\n", "ax2.set_title(\"Fractional rms-squared norm.\", fontproperties=font_prop)\n", "\n", "ax3.plot(avg_cs_abs.freq, avg_cs_abs.power, lw=2, color='black')\n", "ax3.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax3.set_ylabel(\"Absolute cross-power\", fontproperties=font_prop)\n", "ax3.tick_params(axis='x', labelsize=14)\n", "ax3.tick_params(axis='y', labelsize=14)\n", "ax3.set_yscale('log')\n", "ax3.tick_params(which='major', width=1.5, length=7)\n", "ax3.tick_params(which='minor', width=1.5, length=4)\n", "ax3.set_title(\"Absolute rms-squared norm.\", fontproperties=font_prop)\n", "\n", "for axis in ['top', 'bottom', 'left', 'right']:\n", " ax1.spines[axis].set_linewidth(1.5)\n", " ax2.spines[axis].set_linewidth(1.5)\n", " ax3.spines[axis].set_linewidth(1.5)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Re-binning a cross spectrum in frequency\n", "Typically, rebinning is done on an averaged, normalized cross spectrum.\n", "## 1. We can linearly re-bin a cross spectrum\n", "(although this is not done much in practice)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DF before: 0.125\n", "DF after: 0.25\n" ] } ], "source": [ "print(\"DF before:\", avg_cs.df)\n", "# Both of the following ways are allowed syntax:\n", "# lin_rb_cs = Crossspectrum.rebin(avg_cs, 0.25, method='mean')\n", "lin_rb_cs = avg_cs.rebin(0.25, method='mean')\n", "print(\"DF after:\", lin_rb_cs.df)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## 2. And we can logarithmically/geometrically re-bin a cross spectrum\n", "In this re-binning, each bin size is 1+f times larger than the previous bin size, where `f` is user-specified and normally in the range 0.01-0.1. The default value is `f=0.01`.\n", "\n", "Logarithmic rebinning only keeps the real part of the cross spectum." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# Both of the following ways are allowed syntax:\n", "# log_rb_cs, log_rb_freq, binning = Crossspectrum.rebin_log(avg_cs, f=0.02)\n", "log_rb_cs = avg_cs.rebin_log(f=0.02)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that like `rebin`, `rebin_log` returns a `Crossspectrum` or `AveragedCrossspectrum` object (depending on the input object):" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "print(type(lin_rb_cs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Time lags / phase lags\n", "## 1. Frequency-dependent lags\n", "The lag-frequency spectrum shows the time lag between two light curves (usually non-overlapping broad energy bands) as a function of Fourier frequency.\n", "See [*Uttley et al. 2014, A&ARev, 22, 72* section 2.2.1.](http://adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2014A%26ARv..22...72U&link_type=EJOURNAL)\n", "\n", "In `AveragedCrossspectrum`, the second light curve is what is considered the reference in Uttley et al. and in most other spectral timing literature." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "30it [00:00, 264.86it/s]\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "long_dt = 0.0015231682473469295763529 # seconds\n", "long_exposure = 1600. # seconds\n", "long_times = np.arange(0, long_exposure, long_dt) # seconds\n", "frequency = 3.\n", "phase_lag = np.pi / 3\n", "\n", "# long_signal_1 = 300 * np.sin(2.*np.pi*long_times/0.5) + 100 * np.sin(2.*np.pi*long_times*5 + np.pi/6) + 1000\n", "# long_signal_2 = 200 * np.sin(2.*np.pi*long_times/0.5 + np.pi/4) + 80 * np.sin(2.*np.pi*long_times*5) + 900\n", "\n", "long_signal_1 = (300 * np.sin(2.*np.pi*long_times*frequency) + 1000) * dt\n", "long_signal_2 = (200 * np.sin(2.*np.pi*long_times*frequency - phase_lag) + 900) * dt\n", "\n", "long_lc1 = Lightcurve(long_times, np.random.normal(long_signal_1, 0.03))\n", "long_lc2 = Lightcurve(long_times, np.random.normal(long_signal_2, 0.03))\n", "\n", "# Note: the second light curve is what we use as a reference.\n", "avg_cs = AveragedCrossspectrum.from_lightcurve(long_lc2, long_lc1, 53.)\n", "\n", "fig, ax = plt.subplots(1,1,figsize=(10,6))\n", "ax.plot(long_lc1.time, long_lc1.counts, lw=2, color='blue')\n", "ax.plot(long_lc1.time, long_lc2.counts, lw=2, color='red')\n", "ax.set_xlim(0,4)\n", "ax.set_xlabel(\"Time (s)\", fontproperties=font_prop)\n", "ax.set_ylabel(\"Counts (cts)\", fontproperties=font_prop)\n", "ax.tick_params(axis='x', labelsize=16)\n", "ax.tick_params(axis='y', labelsize=16)\n", "plt.show()\n", "\n", "fig, ax = plt.subplots(1,1,figsize=(10,6))\n", "ax.plot(avg_cs.freq, avg_cs.power, lw=2, color='blue')\n", "plt.semilogy()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `time_lag` method returns an `np.ndarray` with the time lag in seconds per positive Fourier frequency." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "freq_lags, freq_lags_err = avg_cs.time_lag()\n", "freq_plags, freq_plags_err = avg_cs.phase_lag()\n", "\n", "# Expected time lag, given the input time lag\n", "time_lag = phase_lag / (2. * np.pi * avg_cs.freq)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And this is a plot of the lag-frequency spectrum:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1,figsize=(8,5))\n", "ax.hlines(0, avg_cs.freq[0], avg_cs.freq[-1], color='black', linestyle='dashed', lw=2)\n", "ax.errorbar(avg_cs.freq, freq_lags, yerr=freq_lags_err,fmt=\"o\", lw=1, color='blue')\n", "ax.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax.set_ylabel(\"Time lag (s)\", fontproperties=font_prop)\n", "ax.tick_params(axis='x', labelsize=14)\n", "ax.tick_params(axis='y', labelsize=14)\n", "ax.tick_params(which='major', width=1.5, length=7)\n", "ax.tick_params(which='minor', width=1.5, length=4)\n", "for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(1.5)\n", "# plt.semilogx()\n", "plt.axvline(frequency)\n", "plt.xlim([2, 5])\n", "plt.ylim([-0.05, 0.2])\n", "plt.plot(avg_cs.freq, time_lag, label=\"Input time lag\", lw=2, zorder=10)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1,figsize=(8,5))\n", "ax.hlines(0, avg_cs.freq[0], avg_cs.freq[-1], color='black', linestyle='dashed', lw=2)\n", "ax.errorbar(avg_cs.freq, freq_plags, yerr=freq_plags_err,fmt=\"o\", lw=1, color='blue')\n", "ax.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax.set_ylabel(\"Phase lag (rad)\", fontproperties=font_prop)\n", "ax.tick_params(axis='x', labelsize=14)\n", "ax.tick_params(axis='y', labelsize=14)\n", "ax.tick_params(which='major', width=1.5, length=7)\n", "ax.tick_params(which='minor', width=1.5, length=4)\n", "for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(1.5)\n", "# plt.semilogx()\n", "plt.axvline(frequency)\n", "plt.xlim([2, 5])\n", "plt.ylim([0, np.pi/ 2])\n", "plt.axhline(phase_lag, label=\"Input phase lag\", lw=2, zorder=10)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Energy-dependent lags\n", "\n", "The lag vs energy spectrum can be calculated using the `LagEnergySpectrum` from `stingray.varenergy`. Refer to the Spectral Timing documentation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Coherence\n", "Coherence is a Fourier-frequency-dependent measure of the linear correlation between time series measured simultaneously in two energy channels. \n", "See *Vaughan and Nowak 1997, ApJ, 474, L43* and *Uttley et al. 2014, A&ARev, 22, 72* section 2.1.3. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "200it [00:00, 14681.05it/s]\n" ] } ], "source": [ "long_dt = 0.03125 # seconds\n", "long_exposure = 1600. # seconds\n", "long_times = np.arange(0, long_exposure, long_dt) # seconds\n", "\n", "long_signal_1 = 300 * np.sin(2.*np.pi*long_times/0.5) + 1000\n", "long_signal_2 = 200 * np.sin(2.*np.pi*long_times/0.5 + np.pi/4) + 900\n", "\n", "long_noisy_1 = np.random.poisson(long_signal_1*dt)\n", "long_noisy_2 = np.random.poisson(long_signal_2*dt)\n", "\n", "long_lc1 = Lightcurve(long_times, long_noisy_1)\n", "long_lc2 = Lightcurve(long_times, long_noisy_2)\n", "\n", "avg_cs = AveragedCrossspectrum.from_lightcurve(long_lc1, long_lc2, 8.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `coherence` method returns two `np.ndarray`s, of the coherence and uncertainty." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "coh, err_coh = avg_cs.coherence()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The coherence and uncertainty have the same length as the positive Fourier frequencies." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] } ], "source": [ "print(len(coh) == len(avg_cs.freq))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "And we can plot the coherence vs the frequency." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1,figsize=(8,5))\n", "# ax.hlines(0, avg_cs.freq[0], avg_cs.freq[-1], color='black', linestyle='dashed', lw=2)\n", "ax.errorbar(avg_cs.freq, coh, yerr=err_coh, lw=2, color='blue')\n", "ax.set_xlabel(\"Frequency (Hz)\", fontproperties=font_prop)\n", "ax.set_ylabel(\"Coherence\", fontproperties=font_prop)\n", "ax.tick_params(axis='x', labelsize=14)\n", "ax.tick_params(axis='y', labelsize=14)\n", "ax.tick_params(which='major', width=1.5, length=7)\n", "ax.tick_params(which='minor', width=1.5, length=4)\n", "for axis in ['top', 'bottom', 'left', 'right']:\n", " ax.spines[axis].set_linewidth(1.5)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 1 }